117664079328 has 192 divisors, whose sum is σ = 358431091200. Its totient is φ = 37482255360.

The previous prime is 117664079321. The next prime is 117664079347. The reversal of 117664079328 is 823970466711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117664079321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31217028 + ... + 31220796.

It is an arithmetic number, because the mean of its divisors is an integer number (1866828600).

Almost surely, 2^117664079328 is an apocalyptic number.

117664079328 is a gapful number since it is divisible by the number (18) 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 117664079328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179215545600).

117664079328 is an abundant number, since it is smaller than the sum of its proper divisors (240767011872).

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

117664079328 is a wasteful number, since it uses less digits than its factorization.

117664079328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5382 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 117664079328 in words is "one hundred seventeen billion, six hundred sixty-four million, seventy-nine thousand, three hundred twenty-eight".