113526657972 has 384 divisors, whose sum is σ = 367342510080. Its totient is φ = 29523916800.

The previous prime is 113526657919. The next prime is 113526658009. The reversal of 113526657972 is 279756625311.

It is a happy number.

113526657972 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 66 + 579 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336874188 + ... + 336874524.

It is an arithmetic number, because the mean of its divisors is an integer number (956621120).

Almost surely, 2^113526657972 is an apocalyptic number.

113526657972 is a gapful number since it is divisible by the number (12) 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 113526657972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183671255040).

113526657972 is an abundant number, since it is smaller than the sum of its proper divisors (253815852108).

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

113526657972 is a wasteful number, since it uses less digits than its factorization.

113526657972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 113526657972 in words is "one hundred thirteen billion, five hundred twenty-six million, six hundred fifty-seven thousand, nine hundred seventy-two".