13931900477568 has 512 divisors, whose sum is σ = 46394706528000. Its totient is φ = 4140723732480.

The previous prime is 13931900477563. The next prime is 13931900477617. The reversal of 13931900477568 is 86577400913931.

13931900477568 is a `hidden beast` number, since 1 + 3 + 93 + 19 + 0 + 0 + 477 + 5 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (13931900477563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90342288 + ... + 90496368.

Almost surely, 2^{13931900477568} is an apocalyptic number.

13931900477568 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 13931900477568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23197353264000).

13931900477568 is an abundant number, since it is smaller than the sum of its proper divisors (32462806050432).

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

13931900477568 is an equidigital number, since it uses as much as digits as its factorization.

13931900477568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154152 (or 154122 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 13931900477568 in words is "thirteen trillion, nine hundred thirty-one billion, nine hundred million, four hundred seventy-seven thousand, five hundred sixty-eight".