114395168928 has 96 divisors (see below), whose sum is σ = 318137694336. Its totient is φ = 35867639808.

The previous prime is 114395168917. The next prime is 114395168941. The reversal of 114395168928 is 829861593411.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2890200 + ... + 2929512.

It is an arithmetic number, because the mean of its divisors is an integer number (3313934316).

Almost surely, 2^114395168928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114395168928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159068847168).

114395168928 is an abundant number, since it is smaller than the sum of its proper divisors (203742525408).

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

114395168928 is a wasteful number, since it uses less digits than its factorization.

114395168928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41126 (or 41118 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 57.

The spelling of 114395168928 in words is "one hundred fourteen billion, three hundred ninety-five million, one hundred sixty-eight thousand, nine hundred twenty-eight".