113004064067400 has 768 divisors, whose sum is σ = 431524930636800. Its totient is φ = 26952279552000.

The previous prime is 113004064067359. The next prime is 113004064067413. The reversal of 113004064067400 is 4760460400311.

113004064067400 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 4 + 0 + 640 + 6 + 7 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1188130647 + ... + 1188225753.

It is an arithmetic number, because the mean of its divisors is an integer number (561881420100).

Almost surely, 2^{113004064067400} is an apocalyptic number.

113004064067400 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 113004064067400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215762465318400).

113004064067400 is an abundant number, since it is smaller than the sum of its proper divisors (318520866569400).

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

113004064067400 is a wasteful number, since it uses less digits than its factorization.

113004064067400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95467 (or 95452 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 113004064067400 in words is "one hundred thirteen trillion, four billion, sixty-four million, sixty-seven thousand, four hundred".