117984766018320 has 240 divisors, whose sum is σ = 422111640000960. Its totient is φ = 29447560848384.

The previous prime is 117984766018307. The next prime is 117984766018331. The reversal of 117984766018320 is 23810667489711.

117984766018320 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 8 + 476 + 60 + 1 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50820087 + ... + 53090966.

It is an arithmetic number, because the mean of its divisors is an integer number (1758798500004).

Almost surely, 2^{117984766018320} is an apocalyptic number.

117984766018320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117984766018320 is an abundant number, since it is smaller than the sum of its proper divisors (304126873982640).

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

117984766018320 is a wasteful number, since it uses less digits than its factorization.

117984766018320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103911174 (or 103911165 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 117984766018320 in words is "one hundred seventeen trillion, nine hundred eighty-four billion, seven hundred sixty-six million, eighteen thousand, three hundred twenty".