118314312480 has 1152 divisors, whose sum is σ = 530915793408. Its totient is φ = 23282712576.

The previous prime is 118314312449. The next prime is 118314312547. The reversal of 118314312480 is 84213413811.

118314312480 is a `hidden beast` number, since 1 + 183 + 1 + 431 + 2 + 48 + 0 = 666.

118314312480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385388487 + ... + 385388793.

It is an arithmetic number, because the mean of its divisors is an integer number (460864404).

Almost surely, 2^118314312480 is an apocalyptic number.

118314312480 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 118314312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265457896704).

118314312480 is an abundant number, since it is smaller than the sum of its proper divisors (412601480928).

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

118314312480 is a wasteful number, since it uses less digits than its factorization.

118314312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 118314312480 in words is "one hundred eighteen billion, three hundred fourteen million, three hundred twelve thousand, four hundred eighty".