118687645440 has 864 divisors, whose sum is σ = 521398563840. Its totient is φ = 25033162752.

The previous prime is 118687645409. The next prime is 118687645469. The reversal of 118687645440 is 44546786811.

118687645440 is a `hidden beast` number, since 1 + 1 + 86 + 8 + 76 + 454 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40883029 + ... + 40885931.

It is an arithmetic number, because the mean of its divisors is an integer number (603470560).

Almost surely, 2^118687645440 is an apocalyptic number.

118687645440 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 118687645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260699281920).

118687645440 is an abundant number, since it is smaller than the sum of its proper divisors (402710918400).

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

118687645440 is a wasteful number, since it uses less digits than its factorization.

118687645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 118687645440 in words is "one hundred eighteen billion, six hundred eighty-seven million, six hundred forty-five thousand, four hundred forty".