113610293979840 has 1792 divisors, whose sum is σ = 476342415360000. Its totient is φ = 25475840409600.

The previous prime is 113610293979839. The next prime is 113610293979859. The reversal of 113610293979840 is 48979392016311.

113610293979840 is a `hidden beast` number, since 1 + 1 + 3 + 610 + 2 + 9 + 3 + 9 + 7 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33822652081 + ... + 33822655439.

It is an arithmetic number, because the mean of its divisors is an integer number (265816080000).

Almost surely, 2^{113610293979840} is an apocalyptic number.

113610293979840 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 113610293979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238171207680000).

113610293979840 is an abundant number, since it is smaller than the sum of its proper divisors (362732121380160).

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

113610293979840 is a wasteful number, since it uses less digits than its factorization.

113610293979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 113610293979840 in words is "one hundred thirteen trillion, six hundred ten billion, two hundred ninety-three million, nine hundred seventy-nine thousand, eight hundred forty".