113935634064 has 240 divisors, whose sum is σ = 378037470720. Its totient is φ = 31356149760.

The previous prime is 113935634053. The next prime is 113935634107. The reversal of 113935634064 is 460436539311.

It is a happy number.

113935634064 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 3 + 5 + 634 + 0 + 6 + 4 = 666.

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, 3247464 + ... + 3282360.

It is an arithmetic number, because the mean of its divisors is an integer number (1575156128).

Almost surely, 2^113935634064 is an apocalyptic number.

113935634064 is a gapful number since it is divisible by the number (14) 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 113935634064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189018735360).

113935634064 is an abundant number, since it is smaller than the sum of its proper divisors (264101836656).

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

113935634064 is a wasteful number, since it uses less digits than its factorization.

113935634064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35038 (or 35029 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 113935634064 in words is "one hundred thirteen billion, nine hundred thirty-five million, six hundred thirty-four thousand, sixty-four".