117688216464 has 1440 divisors, whose sum is σ = 468961234560. Its totient is φ = 28217548800.

The previous prime is 117688216441. The next prime is 117688216487. The reversal of 117688216464 is 464612886711.

117688216464 is a `hidden beast` number, since 1 + 176 + 8 + 8 + 2 + 1 + 6 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (117688216441) and next prime (117688216487).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117688216464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1929314994 + ... + 1929315054.

It is an arithmetic number, because the mean of its divisors is an integer number (325667524).

Almost surely, 2^117688216464 is an apocalyptic number.

117688216464 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 117688216464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234480617280).

117688216464 is an abundant number, since it is smaller than the sum of its proper divisors (351273018096).

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

117688216464 is a wasteful number, since it uses less digits than its factorization.

117688216464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 117688216464 in words is "one hundred seventeen billion, six hundred eighty-eight million, two hundred sixteen thousand, four hundred sixty-four".