113363577600 has 1944 divisors, whose sum is σ = 507609510912. Its totient is φ = 22140518400.

The previous prime is 113363577557. The next prime is 113363577619. The reversal of 113363577600 is 6775363311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3656889585 + ... + 3656889615.

Almost surely, 2^113363577600 is an apocalyptic number.

113363577600 is a gapful number since it is divisible by the number (10) 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 113363577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253804755456).

113363577600 is an abundant number, since it is smaller than the sum of its proper divisors (394245933312).

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

113363577600 is a wasteful number, since it uses less digits than its factorization.

113363577600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

The spelling of 113363577600 in words is "one hundred thirteen billion, three hundred sixty-three million, five hundred seventy-seven thousand, six hundred".