113314164840 has 256 divisors, whose sum is σ = 390334464000. Its totient is φ = 29209662720.

The previous prime is 113314164829. The next prime is 113314164851. The reversal of 113314164840 is 48461413311.

113314164840 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 4 + 1 + 648 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113314164829) and next prime (113314164851).

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

It is a junction number, because it is equal to n+sod(n) for n = 113314164795 and 113314164804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48444391 + ... + 48446729.

It is an arithmetic number, because the mean of its divisors is an integer number (1524744000).

Almost surely, 2^113314164840 is an apocalyptic number.

113314164840 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 113314164840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195167232000).

113314164840 is an abundant number, since it is smaller than the sum of its proper divisors (277020299160).

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

113314164840 is a wasteful number, since it uses less digits than its factorization.

113314164840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 113314164840 in words is "one hundred thirteen billion, three hundred fourteen million, one hundred sixty-four thousand, eight hundred forty".