14125928256 has 336 divisors, whose sum is σ = 46491314688. Its totient is φ = 4216665600.

The previous prime is 14125928251. The next prime is 14125928263. The reversal of 14125928256 is 65282952141.

14125928256 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 592 + 8 + 2 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125928251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12145531 + ... + 12146693.

It is an arithmetic number, because the mean of its divisors is an integer number (138367008).

Almost surely, 2^14125928256 is an apocalyptic number.

14125928256 is a gapful number since it is divisible by the number (16) 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 14125928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23245657344).

14125928256 is an abundant number, since it is smaller than the sum of its proper divisors (32365386432).

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

14125928256 is a wasteful number, since it uses less digits than its factorization.

14125928256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1250 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 14125928256 in words is "fourteen billion, one hundred twenty-five million, nine hundred twenty-eight thousand, two hundred fifty-six".