113011985217528 has 192 divisors, whose sum is σ = 310212079819200. Its totient is φ = 37164315525120.

The previous prime is 113011985217517. The next prime is 113011985217539. The reversal of 113011985217528 is 825712589110311.

113011985217528 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 1 + 1 + 98 + 5 + 21 + 7 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (113011985217517) and next prime (113011985217539).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3221440948 + ... + 3221476028.

It is an arithmetic number, because the mean of its divisors is an integer number (1615687915725).

Almost surely, 2^{113011985217528} is an apocalyptic number.

113011985217528 is a gapful number since it is divisible by the number (18) 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 113011985217528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155106039909600).

113011985217528 is an abundant number, since it is smaller than the sum of its proper divisors (197200094601672).

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

113011985217528 is a wasteful number, since it uses less digits than its factorization.

113011985217528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36822 (or 36815 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 113011985217528 in words is "one hundred thirteen trillion, eleven billion, nine hundred eighty-five million, two hundred seventeen thousand, five hundred twenty-eight".