113526442512 has 320 divisors, whose sum is σ = 380868956160. Its totient is φ = 31708164096.

The previous prime is 113526442501. The next prime is 113526442529. The reversal of 113526442512 is 215244625311.

113526442512 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 644 + 2 + 5 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24343893 + ... + 24348555.

It is an arithmetic number, because the mean of its divisors is an integer number (1190215488).

Almost surely, 2^113526442512 is an apocalyptic number.

113526442512 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 113526442512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190434478080).

113526442512 is an abundant number, since it is smaller than the sum of its proper divisors (267342513648).

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

113526442512 is a wasteful number, since it uses less digits than its factorization.

113526442512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4855 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 113526442512 in words is "one hundred thirteen billion, five hundred twenty-six million, four hundred forty-two thousand, five hundred twelve".