117551912484864 has 1536 divisors, whose sum is σ = 393129344764800. Its totient is φ = 30916214784000.

The previous prime is 117551912484847. The next prime is 117551912484883. The reversal of 117551912484864 is 468484219155711.

117551912484864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (77414400) is a multiple of the sum of its prime divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 117551912484795 and 117551912484804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217286344434 + ... + 217286344974.

Almost surely, 2^{117551912484864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117551912484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196564672382400).

117551912484864 is an abundant number, since it is smaller than the sum of its proper divisors (275577432279936).

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

117551912484864 is a wasteful number, since it uses less digits than its factorization.

117551912484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 640 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 66.

The spelling of 117551912484864 in words is "one hundred seventeen trillion, five hundred fifty-one billion, nine hundred twelve million, four hundred eighty-four thousand, eight hundred sixty-four".