117755752390848 has 1344 divisors, whose sum is σ = 422193490790400. Its totient is φ = 31950349516800.

The previous prime is 117755752390831. The next prime is 117755752390937. The reversal of 117755752390848 is 848093257557711.

117755752390848 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 5 + 5 + 7 + 523 + 90 + 8 + 4 + 8 = 666.

117755752390848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×117755752390848² (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 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 191 ways as a sum of consecutive naturals, for example, 19948455865 + ... + 19948461767.

It is an arithmetic number, because the mean of its divisors is an integer number (314132061600).

Almost surely, 2^{117755752390848} is an apocalyptic number.

117755752390848 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 117755752390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211096745395200).

117755752390848 is an abundant number, since it is smaller than the sum of its proper divisors (304437738399552).

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

117755752390848 is a wasteful number, since it uses less digits than its factorization.

117755752390848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 592704000, while the sum is 72.

The spelling of 117755752390848 in words is "one hundred seventeen trillion, seven hundred fifty-five billion, seven hundred fifty-two million, three hundred ninety thousand, eight hundred forty-eight".