118414505664 has 896 divisors, whose sum is σ = 462905856000. Its totient is φ = 28816736256.

The previous prime is 118414505663. The next prime is 118414505681. The reversal of 118414505664 is 466505414811.

118414505664 is a `hidden beast` number, since 1 + 1 + 8 + 41 + 45 + 0 + 566 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (118414505663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104883852 + ... + 104884980.

It is an arithmetic number, because the mean of its divisors is an integer number (516636000).

Almost surely, 2^118414505664 is an apocalyptic number.

118414505664 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 118414505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231452928000).

118414505664 is an abundant number, since it is smaller than the sum of its proper divisors (344491350336).

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

118414505664 is a wasteful number, since it uses less digits than its factorization.

118414505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 118414505664 in words is "one hundred eighteen billion, four hundred fourteen million, five hundred five thousand, six hundred sixty-four".