117468481152960 has 672 divisors, whose sum is σ = 481927507356672. Its totient is φ = 25677867663360.

The previous prime is 117468481152959. The next prime is 117468481153063. The reversal of 117468481152960 is 69251184864711.

117468481152960 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 6 + 8 + 48 + 1 + 1 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2949448567 + ... + 2949488393.

Almost surely, 2^{117468481152960} is an apocalyptic number.

117468481152960 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 117468481152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240963753678336).

117468481152960 is an abundant number, since it is smaller than the sum of its proper divisors (364459026203712).

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

117468481152960 is a wasteful number, since it uses less digits than its factorization.

117468481152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46241 (or 46228 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 117468481152960 in words is "one hundred seventeen trillion, four hundred sixty-eight billion, four hundred eighty-one million, one hundred fifty-two thousand, nine hundred sixty".