13869547683264 has 1680 divisors, whose sum is σ = 54447125040000. Its totient is φ = 3450629984256.

The previous prime is 13869547683253. The next prime is 13869547683269. The reversal of 13869547683264 is 46238674596831.

It is a happy number.

13869547683264 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 95 + 476 + 8 + 3 + 2 + 64 = 666.

13869547683264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13869547683192 and 13869547683201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13869547683269) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27794684487 + ... + 27794684985.

It is an arithmetic number, because the mean of its divisors is an integer number (32409003000).

Almost surely, 2^{13869547683264} is an apocalyptic number.

13869547683264 is a gapful number since it is divisible by the number (14) 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 13869547683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27223562520000).

13869547683264 is an abundant number, since it is smaller than the sum of its proper divisors (40577577356736).

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

13869547683264 is a wasteful number, since it uses less digits than its factorization.

13869547683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 986 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 13869547683264 in words is "thirteen trillion, eight hundred sixty-nine billion, five hundred forty-seven million, six hundred eighty-three thousand, two hundred sixty-four".