117166742784 has 1296 divisors, whose sum is σ = 460532822400. Its totient is φ = 29225484288.

The previous prime is 117166742779. The next prime is 117166742801. The reversal of 117166742784 is 487247661711.

117166742784 is a `hidden beast` number, since 11 + 71 + 6 + 67 + 427 + 84 = 666.

It is a super-2 number, since 2×117166742784² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117166742784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1316480212 + ... + 1316480300.

It is an arithmetic number, because the mean of its divisors is an integer number (355349400).

Almost surely, 2^117166742784 is an apocalyptic number.

117166742784 is a gapful number since it is divisible by the number (14) 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 117166742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230266411200).

117166742784 is an abundant number, since it is smaller than the sum of its proper divisors (343366079616).

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

117166742784 is a wasteful number, since it uses less digits than its factorization.

117166742784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 137 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 117166742784 in words is "one hundred seventeen billion, one hundred sixty-six million, seven hundred forty-two thousand, seven hundred eighty-four".