13969298242368 has 840 divisors, whose sum is σ = 50111220879720. Its totient is φ = 3831943127040.

The previous prime is 13969298242349. The next prime is 13969298242369. The reversal of 13969298242368 is 86324289296931.

It is a happy number.

13969298242368 is a `hidden beast` number, since 1 + 3 + 9 + 69 + 2 + 9 + 82 + 423 + 68 = 666.

13969298242368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 554893887744 + 13414404354624 = 744912^2 + 3662568^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13969298242296 and 13969298242305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13969298242369) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1333324746 + ... + 1333335222.

It is an arithmetic number, because the mean of its divisors is an integer number (59656215333).

Almost surely, 2^{13969298242368} is an apocalyptic number.

13969298242368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13969298242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25055610439860).

13969298242368 is an abundant number, since it is smaller than the sum of its proper divisors (36141922637352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13969298242368 is a wasteful number, since it uses less digits than its factorization.

13969298242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10725 (or 10699 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 13969298242368 in words is "thirteen trillion, nine hundred sixty-nine billion, two hundred ninety-eight million, two hundred forty-two thousand, three hundred sixty-eight".