113584069400 has 48 divisors (see below), whose sum is σ = 275564840400. Its totient is φ = 43458250880.

The previous prime is 113584069367. The next prime is 113584069457. The reversal of 113584069400 is 4960485311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12341495 + ... + 12350694.

It is an arithmetic number, because the mean of its divisors is an integer number (5740934175).

Almost surely, 2^113584069400 is an apocalyptic number.

113584069400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113584069400 is an abundant number, since it is smaller than the sum of its proper divisors (161980771000).

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

113584069400 is a wasteful number, since it uses less digits than its factorization.

113584069400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24692228 (or 24692219 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 113584069400 in words is "one hundred thirteen billion, five hundred eighty-four million, sixty-nine thousand, four hundred".