113658775440 has 480 divisors, whose sum is σ = 431263540224. Its totient is φ = 24250736640.

The previous prime is 113658775387. The next prime is 113658775469. The reversal of 113658775440 is 44577856311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63602227 + ... + 63604013.

Almost surely, 2^113658775440 is an apocalyptic number.

113658775440 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 113658775440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215631770112).

113658775440 is an abundant number, since it is smaller than the sum of its proper divisors (317604764784).

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

113658775440 is a wasteful number, since it uses less digits than its factorization.

113658775440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 113658775440 in words is "one hundred thirteen billion, six hundred fifty-eight million, seven hundred seventy-five thousand, four hundred forty".