125044456320 has 1152 divisors, whose sum is σ = 531401925600. Its totient is φ = 28008529920.

The previous prime is 125044456297. The next prime is 125044456373. The reversal of 125044456320 is 23654440521.

125044456320 is a `hidden beast` number, since 1 + 2 + 50 + 4 + 44 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×125044456320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 464849146 + ... + 464849414.

Almost surely, 2^125044456320 is an apocalyptic number.

125044456320 is a gapful number since it is divisible by the number (10) 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 125044456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265700962800).

125044456320 is an abundant number, since it is smaller than the sum of its proper divisors (406357469280).

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

125044456320 is an equidigital number, since it uses as much as digits as its factorization.

125044456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 125044456320 its reverse (23654440521), we get a palindrome (148698896841).

The spelling of 125044456320 in words is "one hundred twenty-five billion, forty-four million, four hundred fifty-six thousand, three hundred twenty".