117358238914560 has 3072 divisors, whose sum is σ = 518201349120000. Its totient is φ = 24603361542144.

The previous prime is 117358238914541. The next prime is 117358238914639. The reversal of 117358238914560 is 65419832853711.

117358238914560 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 58 + 2 + 3 + 8 + 9 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×117358238914560² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 295612692282 + ... + 295612692678.

It is an arithmetic number, because the mean of its divisors is an integer number (168685335000).

It is a 1-persistent number, because it is pandigital, but 2⋅117358238914560 = 234716477829120 is not.

Almost surely, 2^{117358238914560} is an apocalyptic number.

117358238914560 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 117358238914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259100674560000).

117358238914560 is an abundant number, since it is smaller than the sum of its proper divisors (400843110205440).

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

117358238914560 is a wasteful number, since it uses less digits than its factorization.

117358238914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 117358238914560 in words is "one hundred seventeen trillion, three hundred fifty-eight billion, two hundred thirty-eight million, nine hundred fourteen thousand, five hundred sixty".