113556648576 has 192 divisors, whose sum is σ = 362201967360. Its totient is φ = 31397990400.

The previous prime is 113556648521. The next prime is 113556648721. The reversal of 113556648576 is 675846655311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×113556648576² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485956 + ... + 680636.

It is an arithmetic number, because the mean of its divisors is an integer number (1886468580).

Almost surely, 2^113556648576 is an apocalyptic number.

113556648576 is a gapful number since it is divisible by the number (16) 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 113556648576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181100983680).

113556648576 is an abundant number, since it is smaller than the sum of its proper divisors (248645318784).

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

113556648576 is a wasteful number, since it uses less digits than its factorization.

113556648576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194743 (or 194724 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 57.

The spelling of 113556648576 in words is "one hundred thirteen billion, five hundred fifty-six million, six hundred forty-eight thousand, five hundred seventy-six".