113143694400 has 672 divisors, whose sum is σ = 451796261760. Its totient is φ = 27316224000.

The previous prime is 113143694393. The next prime is 113143694413. The reversal of 113143694400 is 4496341311.

113143694400 is a `hidden beast` number, since 1 + 13 + 143 + 69 + 440 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 217166140 + ... + 217166660.

Almost surely, 2^113143694400 is an apocalyptic number.

113143694400 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 113143694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225898130880).

113143694400 is an abundant number, since it is smaller than the sum of its proper divisors (338652567360).

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

113143694400 is a wasteful number, since it uses less digits than its factorization.

113143694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 113143694400 in words is "one hundred thirteen billion, one hundred forty-three million, six hundred ninety-four thousand, four hundred".