117772148664 has 112 divisors (see below), whose sum is σ = 331355016720. Its totient is φ = 39225098880.

The previous prime is 117772148653. The next prime is 117772148687. The reversal of 117772148664 is 466841277711.

117772148664 is a `hidden beast` number, since 1 + 17 + 77 + 21 + 486 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 117772148664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7696429 + ... + 7711715.

It is an arithmetic number, because the mean of its divisors is an integer number (2958526935).

Almost surely, 2^117772148664 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 117772148664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165677508360).

117772148664 is an abundant number, since it is smaller than the sum of its proper divisors (213582868056).

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

117772148664 is a wasteful number, since it uses less digits than its factorization.

117772148664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16632 (or 16613 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 117772148664 in words is "one hundred seventeen billion, seven hundred seventy-two million, one hundred forty-eight thousand, six hundred sixty-four".