113654661120 has 1728 divisors, whose sum is σ = 542528351820. Its totient is φ = 21799895040.

The previous prime is 113654661119. The next prime is 113654661167. The reversal of 113654661120 is 21166456311.

113654661120 is a `hidden beast` number, since 1 + 1 + 36 + 5 + 4 + 6 + 611 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105786261504 + 7868399616 = 325248^2 + 88704^2 .

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 107 ways as a sum of consecutive naturals, for example, 8742666234 + ... + 8742666246.

Almost surely, 2^113654661120 is an apocalyptic number.

113654661120 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 113654661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271264175910).

113654661120 is an abundant number, since it is smaller than the sum of its proper divisors (428873690700).

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

113654661120 is a wasteful number, since it uses less digits than its factorization.

113654661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 113654661120 in words is "one hundred thirteen billion, six hundred fifty-four million, six hundred sixty-one thousand, one hundred twenty".