13899534891264 has 729 divisors, whose sum is σ = 46199227063899. Its totient is φ = 4015727400960.

The previous prime is 13899534891257. The next prime is 13899534891301. The reversal of 13899534891264 is 46219843599831.

The square root of 13899534891264 is 3728208.

It is a perfect power (a square), and thus also a powerful number.

13899534891264 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 9 + 534 + 89 + 1 + 2 + 6 + 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 = 13899534891192 and 13899534891201.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 45275357799 + ... + 45275358105.

Almost surely, 2^{13899534891264} is an apocalyptic number.

13899534891264 is the 3728208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13899534891264

13899534891264 is an abundant number, since it is smaller than the sum of its proper divisors (32299692172635).

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

13899534891264 is an equidigital number, since it uses as much as digits as its factorization.

13899534891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 346 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 13899534891264 in words is "thirteen trillion, eight hundred ninety-nine billion, five hundred thirty-four million, eight hundred ninety-one thousand, two hundred sixty-four".