117993266797824 has 4032 divisors, whose sum is σ = 455501690058240. Its totient is φ = 30018455470080.

The previous prime is 117993266797793. The next prime is 117993266797843. The reversal of 117993266797824 is 428797662399711.

117993266797824 is a `hidden beast` number, since 1 + 1 + 79 + 9 + 326 + 67 + 97 + 82 + 4 = 666.

It is a super-2 number, since 2×117993266797824² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (3456649728) is a multiple of the sum of its prime factors (288).

It is a congruent number.

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 447 ways as a sum of consecutive naturals, for example, 861264721084 + ... + 861264721220.

It is an arithmetic number, because the mean of its divisors is an integer number (112971649320).

Almost surely, 2^{117993266797824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117993266797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227750845029120).

117993266797824 is an abundant number, since it is smaller than the sum of its proper divisors (337508423260416).

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

117993266797824 is a wasteful number, since it uses less digits than its factorization.

117993266797824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its digits is 3456649728, while the sum is 81.

The spelling of 117993266797824 in words is "one hundred seventeen trillion, nine hundred ninety-three billion, two hundred sixty-six million, seven hundred ninety-seven thousand, eight hundred twenty-four".