13921793740864 has 63 divisors (see below), whose sum is σ = 28024905393181. Its totient is φ = 6861811335680.

The previous prime is 13921793740823. The next prime is 13921793740871. The reversal of 13921793740864 is 46804739712931.

The square root of 13921793740864 is 3731192.

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

It can be written as a sum of positive squares in only one way, i.e., 12525993267264 + 1395800473600 = 3539208^2 + 1181440^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13921793740796 and 13921793740805.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2119313772 + ... + 2119320340.

Almost surely, 2^{13921793740864} is an apocalyptic number.

13921793740864 is the 3731192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13921793740864

13921793740864 is an abundant number, since it is smaller than the sum of its proper divisors (14103111652317).

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

13921793740864 is an frugal number, since it uses more digits than its factorization.

13921793740864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13292 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

Multiplying 13921793740864 by its sum of digits (64), we get a square (890994799415296 = 29849536²).

13921793740864 divided by its sum of digits (64) gives a square (217528027201 = 466399²).

The spelling of 13921793740864 in words is "thirteen trillion, nine hundred twenty-one billion, seven hundred ninety-three million, seven hundred forty thousand, eight hundred sixty-four".