117648460800 has 528 divisors, whose sum is σ = 465307336480. Its totient is φ = 28957409280.

The previous prime is 117648460763. The next prime is 117648460861. The reversal of 117648460800 is 8064846711.

117648460800 is a `hidden beast` number, since 1 + 1 + 76 + 48 + 460 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8979054 + ... + 8992146.

Almost surely, 2^117648460800 is an apocalyptic number.

117648460800 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 117648460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232653668240).

117648460800 is an abundant number, since it is smaller than the sum of its proper divisors (347658875680).

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

117648460800 is a wasteful number, since it uses less digits than its factorization.

117648460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13145 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 117648460800 in words is "one hundred seventeen billion, six hundred forty-eight million, four hundred sixty thousand, eight hundred".