114164742304 has 48 divisors (see below), whose sum is σ = 234587441088. Its totient is φ = 54588109312.

The previous prime is 114164742271. The next prime is 114164742311. The reversal of 114164742304 is 403247461411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3773124 + ... + 3803260.

It is an arithmetic number, because the mean of its divisors is an integer number (4887238356).

Almost surely, 2^114164742304 is an apocalyptic number.

It is an amenable number.

114164742304 is an abundant number, since it is smaller than the sum of its proper divisors (120422698784).

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

114164742304 is a wasteful number, since it uses less digits than its factorization.

114164742304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35317 (or 35309 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 114164742304 in words is "one hundred fourteen billion, one hundred sixty-four million, seven hundred forty-two thousand, three hundred four".