117523518564816 has 1280 divisors, whose sum is σ = 431839027200000. Its totient is φ = 30401764743168.

The previous prime is 117523518564769. The next prime is 117523518564817. The reversal of 117523518564816 is 618465815325711.

117523518564816 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 2 + 3 + 51 + 8 + 564 + 8 + 16 = 666.

It is a super-2 number, since 2×117523518564816² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117523518564817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23891747605 + ... + 23891752523.

It is an arithmetic number, because the mean of its divisors is an integer number (337374240000).

Almost surely, 2^{117523518564816} is an apocalyptic number.

117523518564816 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 117523518564816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215919513600000).

117523518564816 is an abundant number, since it is smaller than the sum of its proper divisors (314315508635184).

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

117523518564816 is a wasteful number, since it uses less digits than its factorization.

117523518564816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5180 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 63.

The spelling of 117523518564816 in words is "one hundred seventeen trillion, five hundred twenty-three billion, five hundred eighteen million, five hundred sixty-four thousand, eight hundred sixteen".