113633758080 has 384 divisors, whose sum is σ = 399718350720. Its totient is φ = 29740068864.

The previous prime is 113633758067. The next prime is 113633758093. The reversal of 113633758080 is 80857336311.

113633758080 is a `hidden beast` number, since 1 + 1 + 3 + 63 + 3 + 7 + 580 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113633758067) and next prime (113633758093).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201835879 + ... + 201836441.

It is an arithmetic number, because the mean of its divisors is an integer number (1040933205).

Almost surely, 2^113633758080 is an apocalyptic number.

113633758080 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 113633758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199859175360).

113633758080 is an abundant number, since it is smaller than the sum of its proper divisors (286084592640).

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

113633758080 is a wasteful number, since it uses less digits than its factorization.

113633758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 113633758080 in words is "one hundred thirteen billion, six hundred thirty-three million, seven hundred fifty-eight thousand, eighty".