117686454681600 has 960 divisors, whose sum is σ = 498270925323600. Its totient is φ = 26899654901760.

The previous prime is 117686454681539. The next prime is 117686454681623. The reversal of 117686454681600 is 6186454686711.

117686454681600 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 8 + 6 + 4 + 5 + 468 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 464359716 + ... + 464613084.

Almost surely, 2^{117686454681600} is an apocalyptic number.

117686454681600 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 117686454681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249135462661800).

117686454681600 is an abundant number, since it is smaller than the sum of its proper divisors (380584470642000).

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

117686454681600 is an frugal number, since it uses more digits than its factorization.

117686454681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253428 (or 253386 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 117686454681600 in words is "one hundred seventeen trillion, six hundred eighty-six billion, four hundred fifty-four million, six hundred eighty-one thousand, six hundred".