117745584768 has 512 divisors, whose sum is σ = 409572595200. Its totient is φ = 32606945280.

The previous prime is 117745584683. The next prime is 117745584793. The reversal of 117745584768 is 867485547711.

117745584768 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 4 + 558 + 4 + 76 + 8 = 666.

It is a super-2 number, since 2×117745584768² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107726430 + ... + 107727522.

It is an arithmetic number, because the mean of its divisors is an integer number (799946475).

Almost surely, 2^117745584768 is an apocalyptic number.

117745584768 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 117745584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204786297600).

117745584768 is an abundant number, since it is smaller than the sum of its proper divisors (291827010432).

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

117745584768 is a wasteful number, since it uses less digits than its factorization.

117745584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1239 counting only the distinct ones).

The product of its digits is 52684800, while the sum is 63.

The spelling of 117745584768 in words is "one hundred seventeen billion, seven hundred forty-five million, five hundred eighty-four thousand, seven hundred sixty-eight".