114429968640 has 216 divisors, whose sum is σ = 426371389080. Its totient is φ = 28167340032.

The previous prime is 114429968633. The next prime is 114429968699. The reversal of 114429968640 is 46869924411.

114429968640 is a `hidden beast` number, since 1 + 14 + 429 + 96 + 86 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 920272896 + 113509695744 = 30336^2 + 336912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232285 + ... + 531804.

Almost surely, 2^114429968640 is an apocalyptic number.

114429968640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114429968640 is an abundant number, since it is smaller than the sum of its proper divisors (311941420440).

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

114429968640 is a wasteful number, since it uses less digits than its factorization.

114429968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764129 (or 764112 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 114429968640 in words is "one hundred fourteen billion, four hundred twenty-nine million, nine hundred sixty-eight thousand, six hundred forty".