117540048384 has 720 divisors, whose sum is σ = 405685463040. Its totient is φ = 32397926400.

The previous prime is 117540048383. The next prime is 117540048413. The reversal of 117540048384 is 483840045711.

117540048384 is a `hidden beast` number, since 1 + 175 + 400 + 48 + 38 + 4 = 666.

It is a super-2 number, since 2×117540048384² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117540048383) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 925512129 + ... + 925512255.

It is an arithmetic number, because the mean of its divisors is an integer number (563452032).

Almost surely, 2^117540048384 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 117540048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202842731520).

117540048384 is an abundant number, since it is smaller than the sum of its proper divisors (288145414656).

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

117540048384 is a wasteful number, since it uses less digits than its factorization.

117540048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 117540048384 in words is "one hundred seventeen billion, five hundred forty million, forty-eight thousand, three hundred eighty-four".