117073784964096 has 297 divisors, whose sum is σ = 346620275842503. Its totient is φ = 38058925916160.

The previous prime is 117073784964091. The next prime is 117073784964109. The reversal of 117073784964096 is 690469487370711.

The square root of 117073784964096 is 10820064.

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

117073784964096 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 7 + 3 + 7 + 8 + 496 + 40 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82578367005696 + 34495417958400 = 9087264^2 + 5873280^2 .

It is a super-2 number, since 2×117073784964096² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (117073784964091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42587770530 + ... + 42587773278.

Almost surely, 2^{117073784964096} is an apocalyptic number.

117073784964096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117073784964096 is the 10820064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117073784964096

117073784964096 is an abundant number, since it is smaller than the sum of its proper divisors (229546490878407).

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

117073784964096 is an frugal number, since it uses more digits than its factorization.

117073784964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 117073784964096 in words is "one hundred seventeen trillion, seventy-three billion, seven hundred eighty-four million, nine hundred sixty-four thousand, ninety-six".