114034756164 has 48 divisors (see below), whose sum is σ = 305052037248. Its totient is φ = 32478571008.

The previous prime is 114034756163. The next prime is 114034756177. The reversal of 114034756164 is 461657430411.

It is a super-2 number, since 2×114034756164² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (114034756163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114629 + ... + 2167884.

It is an arithmetic number, because the mean of its divisors is an integer number (6355250776).

Almost surely, 2^114034756164 is an apocalyptic number.

114034756164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114034756164 is an abundant number, since it is smaller than the sum of its proper divisors (191017281084).

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

114034756164 is a wasteful number, since it uses less digits than its factorization.

114034756164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282844 (or 4282842 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 114034756164 in words is "one hundred fourteen billion, thirty-four million, seven hundred fifty-six thousand, one hundred sixty-four".