117084414976 has 165 divisors, whose sum is σ = 255585527589. Its totient is φ = 53609398272.

The previous prime is 117084414961. The next prime is 117084414977. The reversal of 117084414976 is 679414480711.

The square root of 117084414976 is 342176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7772185600 + 109312229376 = 88160^2 + 330624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117084414977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3164443630 + ... + 3164443666.

Almost surely, 2^117084414976 is an apocalyptic number.

117084414976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117084414976 is the 342176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117084414976

117084414976 is an abundant number, since it is smaller than the sum of its proper divisors (138501112613).

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

117084414976 is an frugal number, since it uses more digits than its factorization.

117084414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 117084414976 in words is "one hundred seventeen billion, eighty-four million, four hundred fourteen thousand, nine hundred seventy-six".