117983149240320 has 1664 divisors, whose sum is σ = 523327367270400. Its totient is φ = 24551381532672.

The previous prime is 117983149240303. The next prime is 117983149240421. The reversal of 117983149240320 is 23042941389711.

117983149240320 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 8 + 31 + 49 + 240 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×117983149240320² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3673297221 + ... + 3673329339.

Almost surely, 2^{117983149240320} is an apocalyptic number.

117983149240320 is a gapful number since it is divisible by the number (10) 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 117983149240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261663683635200).

117983149240320 is an abundant number, since it is smaller than the sum of its proper divisors (405344218030080).

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

117983149240320 is a wasteful number, since it uses less digits than its factorization.

117983149240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32250 (or 32222 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 117983149240320 in words is "one hundred seventeen trillion, nine hundred eighty-three billion, one hundred forty-nine million, two hundred forty thousand, three hundred twenty".