114014100144 has 40 divisors (see below), whose sum is σ = 336613058560. Its totient is φ = 32575457088.

The previous prime is 114014100139. The next prime is 114014100191. The reversal of 114014100144 is 441001410411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 114014100144.

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 7 ways as a sum of consecutive naturals, for example, 169663504 + ... + 169664175.

It is an arithmetic number, because the mean of its divisors is an integer number (8415326464).

Almost surely, 2^114014100144 is an apocalyptic number.

114014100144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114014100144 is an abundant number, since it is smaller than the sum of its proper divisors (222598958416).

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

114014100144 is a wasteful number, since it uses less digits than its factorization.

114014100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339327697 (or 339327691 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 114014100144 its reverse (441001410411), we get a palindrome (555015510555).

The spelling of 114014100144 in words is "one hundred fourteen billion, fourteen million, one hundred thousand, one hundred forty-four".