114017894880 has 96 divisors (see below), whose sum is σ = 360979797024. Its totient is φ = 30250407936.

The previous prime is 114017894867. The next prime is 114017894909. The reversal of 114017894880 is 88498710411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 508327 + ... + 697446.

It is an arithmetic number, because the mean of its divisors is an integer number (3760206219).

Almost surely, 2^114017894880 is an apocalyptic number.

114017894880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114017894880 is an abundant number, since it is smaller than the sum of its proper divisors (246961902144).

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

114017894880 is a wasteful number, since it uses less digits than its factorization.

114017894880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205988 (or 1205980 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The spelling of 114017894880 in words is "one hundred fourteen billion, seventeen million, eight hundred ninety-four thousand, eight hundred eighty".