125723955456 has 432 divisors, whose sum is σ = 405327162240. Its totient is φ = 37158912000.

The previous prime is 125723955439. The next prime is 125723955463. The reversal of 125723955456 is 654559327521.

125723955456 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 2 + 3 + 95 + 545 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196136896 + ... + 196137536.

It is an arithmetic number, because the mean of its divisors is an integer number (938257320).

Almost surely, 2^125723955456 is an apocalyptic number.

125723955456 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 125723955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202663581120).

125723955456 is an abundant number, since it is smaller than the sum of its proper divisors (279603206784).

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

125723955456 is a wasteful number, since it uses less digits than its factorization.

125723955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 837 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The spelling of 125723955456 in words is "one hundred twenty-five billion, seven hundred twenty-three million, nine hundred fifty-five thousand, four hundred fifty-six".