118791951264 has 432 divisors, whose sum is σ = 400033722816. Its totient is φ = 33336576000.

The previous prime is 118791951253. The next prime is 118791951293. The reversal of 118791951264 is 462159197811.

118791951264 is a `hidden beast` number, since 118 + 7 + 9 + 1 + 9 + 512 + 6 + 4 = 666.

It is a super-2 number, since 2×118791951264² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 118791951264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228007324 + ... + 228007844.

It is an arithmetic number, because the mean of its divisors is an integer number (926003988).

Almost surely, 2^118791951264 is an apocalyptic number.

118791951264 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 118791951264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200016861408).

118791951264 is an abundant number, since it is smaller than the sum of its proper divisors (281241771552).

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

118791951264 is a wasteful number, since it uses less digits than its factorization.

118791951264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 791 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The spelling of 118791951264 in words is "one hundred eighteen billion, seven hundred ninety-one million, nine hundred fifty-one thousand, two hundred sixty-four".