113394033656640 has 2240 divisors, whose sum is σ = 506271297945600. Its totient is φ = 23719462502400.

The previous prime is 113394033656627. The next prime is 113394033656663. The reversal of 113394033656640 is 46656330493311.

113394033656640 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 9 + 4 + 0 + 3 + 36 + 566 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2854886701 + ... + 2854926419.

Almost surely, 2^{113394033656640} is an apocalyptic number.

113394033656640 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 113394033656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253135648972800).

113394033656640 is an abundant number, since it is smaller than the sum of its proper divisors (392877264288960).

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

113394033656640 is a wasteful number, since it uses less digits than its factorization.

113394033656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39826 (or 39807 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 113394033656640 in words is "one hundred thirteen trillion, three hundred ninety-four billion, thirty-three million, six hundred fifty-six thousand, six hundred forty".