125634488544 has 288 divisors, whose sum is σ = 387022787424. Its totient is φ = 38511083520.

The previous prime is 125634488521. The next prime is 125634488621. The reversal of 125634488544 is 445884436521.

125634488544 is a `hidden beast` number, since 1 + 2 + 56 + 3 + 4 + 48 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 72915267 + ... + 72916989.

It is an arithmetic number, because the mean of its divisors is an integer number (1343829123).

Almost surely, 2^125634488544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125634488544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193511393712).

125634488544 is an abundant number, since it is smaller than the sum of its proper divisors (261388298880).

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

125634488544 is a wasteful number, since it uses less digits than its factorization.

125634488544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2079 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 125634488544 in words is "one hundred twenty-five billion, six hundred thirty-four million, four hundred eighty-eight thousand, five hundred forty-four".