114785568 has 72 divisors (see below), whose sum is σ = 334417356. Its totient is φ = 37324800.

The previous prime is 114785557. The next prime is 114785579. The reversal of 114785568 is 865587411.

114785568 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 85 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (114785557) and next prime (114785579).

It can be written as a sum of positive squares in 2 ways, for example, as 78641424 + 36144144 = 8868^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6948 + ... + 16668.

Almost surely, 2^114785568 is an apocalyptic number.

114785568 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 114785568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167208678).

114785568 is an abundant number, since it is smaller than the sum of its proper divisors (219631788).

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

114785568 is a wasteful number, since it uses less digits than its factorization.

114785568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9767 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 114785568 is about 10713.8026862548. The cubic root of 114785568 is about 485.9919726358.

The spelling of 114785568 in words is "one hundred fourteen million, seven hundred eighty-five thousand, five hundred sixty-eight".