114357756480 has 112 divisors (see below), whose sum is σ = 396093720384. Its totient is φ = 27723089920.

The previous prime is 114357756479. The next prime is 114357756551. The reversal of 114357756480 is 84657753411.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5404107 + ... + 5425226.

Almost surely, 2^114357756480 is an apocalyptic number.

114357756480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114357756480 is an abundant number, since it is smaller than the sum of its proper divisors (281735963904).

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

114357756480 is a wasteful number, since it uses less digits than its factorization.

114357756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10829364 (or 10829354 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 114357756480 in words is "one hundred fourteen billion, three hundred fifty-seven million, seven hundred fifty-six thousand, four hundred eighty".