114958648896 has 112 divisors (see below), whose sum is σ = 374352580224. Its totient is φ = 30318759936.

The previous prime is 114958648879. The next prime is 114958648901. The reversal of 114958648896 is 698846859411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 114958648896.

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 15 ways as a sum of consecutive naturals, for example, 3272325 + ... + 3307268.

It is an arithmetic number, because the mean of its divisors is an integer number (3342433752).

Almost surely, 2^114958648896 is an apocalyptic number.

114958648896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114958648896 is an abundant number, since it is smaller than the sum of its proper divisors (259393931328).

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

114958648896 is a wasteful number, since it uses less digits than its factorization.

114958648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579628 (or 6579618 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 69.

The spelling of 114958648896 in words is "one hundred fourteen billion, nine hundred fifty-eight million, six hundred forty-eight thousand, eight hundred ninety-six".