114863332608 has 288 divisors, whose sum is σ = 360664617600. Its totient is φ = 35934142464.

The previous prime is 114863332579. The next prime is 114863332613. The reversal of 114863332608 is 806233368411.

114863332608 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 6 + 3 + 3 + 32 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49233010 + ... + 49235342.

It is an arithmetic number, because the mean of its divisors is an integer number (1252307700).

Almost surely, 2^114863332608 is an apocalyptic number.

114863332608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114863332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180332308800).

114863332608 is an abundant number, since it is smaller than the sum of its proper divisors (245801284992).

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

114863332608 is a wasteful number, since it uses less digits than its factorization.

114863332608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 114863332608 in words is "one hundred fourteen billion, eight hundred sixty-three million, three hundred thirty-two thousand, six hundred eight".