118335634560 has 1536 divisors, whose sum is σ = 528815589120. Its totient is φ = 24843386880.

The previous prime is 118335634559. The next prime is 118335634561. The reversal of 118335634560 is 65436533811.

118335634560 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 3 + 5 + 634 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (118335634559) and next prime (118335634561).

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

It is not an unprimeable number, because it can be changed into a prime (118335634561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 378068964 + ... + 378069276.

Almost surely, 2^118335634560 is an apocalyptic number.

118335634560 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 118335634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264407794560).

118335634560 is an abundant number, since it is smaller than the sum of its proper divisors (410479954560).

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

118335634560 is a wasteful number, since it uses less digits than its factorization.

118335634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 118335634560 in words is "one hundred eighteen billion, three hundred thirty-five million, six hundred thirty-four thousand, five hundred sixty".