125626044544 has 384 divisors, whose sum is σ = 340467840000. Its totient is φ = 44834549760.

The previous prime is 125626044541. The next prime is 125626044553. The reversal of 125626044544 is 445440626521.

It is a self number, because there is not a number n which added to its sum of digits gives 125626044544.

It is not an unprimeable number, because it can be changed into a prime (125626044541) 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, 331466947 + ... + 331467325.

It is an arithmetic number, because the mean of its divisors is an integer number (886635000).

Almost surely, 2^125626044544 is an apocalyptic number.

125626044544 is a gapful number since it is divisible by the number (14) 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 125626044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170233920000).

125626044544 is an abundant number, since it is smaller than the sum of its proper divisors (214841795456).

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

125626044544 is a wasteful number, since it uses less digits than its factorization.

125626044544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 43.

The spelling of 125626044544 in words is "one hundred twenty-five billion, six hundred twenty-six million, forty-four thousand, five hundred forty-four".