117634154976 has 144 divisors (see below), whose sum is σ = 360541306944. Its totient is φ = 36166321152.

The previous prime is 117634154969. The next prime is 117634154987. The reversal of 117634154976 is 679451436711.

It is a happy number.

117634154976 is a `hidden beast` number, since 117 + 6 + 3 + 415 + 49 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4956450 + ... + 4980126.

It is an arithmetic number, because the mean of its divisors is an integer number (2503759076).

Almost surely, 2^117634154976 is an apocalyptic number.

117634154976 is a gapful number since it is divisible by the number (16) 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 117634154976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180270653472).

117634154976 is an abundant number, since it is smaller than the sum of its proper divisors (242907151968).

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

117634154976 is a wasteful number, since it uses less digits than its factorization.

117634154976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25033 (or 25022 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 117634154976 in words is "one hundred seventeen billion, six hundred thirty-four million, one hundred fifty-four thousand, nine hundred seventy-six".