13925888064 has 315 divisors, whose sum is σ = 45681219661. Its totient is φ = 4191644160.

The previous prime is 13925888029. The next prime is 13925888071. The reversal of 13925888064 is 46088852931.

The square root of 13925888064 is 118008.

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., 1631513664 + 12294374400 = 40392^2 + 110880^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13925888064.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 93462262 + ... + 93462410.

Almost surely, 2^13925888064 is an apocalyptic number.

13925888064 is the 118008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13925888064

13925888064 is an abundant number, since it is smaller than the sum of its proper divisors (31755331597).

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

13925888064 is an equidigital number, since it uses as much as digits as its factorization.

13925888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 13925888064 in words is "thirteen billion, nine hundred twenty-five million, eight hundred eighty-eight thousand, sixty-four".