13799929414464 has 1120 divisors, whose sum is σ = 45168653376000. Its totient is φ = 4149190656000.

The previous prime is 13799929414463. The next prime is 13799929414483. The reversal of 13799929414464 is 46441492999731.

13799929414464 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 9 + 92 + 94 + 1 + 446 + 4 = 666.

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 = 13799929414392 and 13799929414401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13799929414463) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54979798339 + ... + 54979798589.

It is an arithmetic number, because the mean of its divisors is an integer number (40329154800).

Almost surely, 2^{13799929414464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13799929414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22584326688000).

13799929414464 is an abundant number, since it is smaller than the sum of its proper divisors (31368723961536).

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

13799929414464 is a wasteful number, since it uses less digits than its factorization.

13799929414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 554 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 13799929414464 in words is "thirteen trillion, seven hundred ninety-nine billion, nine hundred twenty-nine million, four hundred fourteen thousand, four hundred sixty-four".