116117475568164 has 144 divisors (see below), whose sum is σ = 350076953640960. Its totient is φ = 31730191162560.

The previous prime is 116117475568103. The next prime is 116117475568207. The reversal of 116117475568164 is 461865574711611.

116117475568164 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 1 + 7 + 4 + 7 + 5 + 568 + 1 + 64 = 666.

It is a super-2 number, since 2×116117475568164² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47677957 + ... + 50054195.

It is an arithmetic number, because the mean of its divisors is an integer number (2431089955840).

Almost surely, 2^{116117475568164} is an apocalyptic number.

116117475568164 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 116117475568164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175038476820480).

116117475568164 is an abundant number, since it is smaller than the sum of its proper divisors (233959478072796).

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

116117475568164 is a wasteful number, since it uses less digits than its factorization.

116117475568164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384710 (or 2384705 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 63.

The spelling of 116117475568164 in words is "one hundred sixteen trillion, one hundred seventeen billion, four hundred seventy-five million, five hundred sixty-eight thousand, one hundred sixty-four".