114566868 has 72 divisors (see below), whose sum is σ = 313531400. Its totient is φ = 35064576.

The previous prime is 114566863. The next prime is 114566869. The reversal of 114566868 is 868665411.

114566868 is a `hidden beast` number, since 1 + 1 + 4 + 566 + 86 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20903184 + 93663684 = 4572^2 + 9678^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114566861) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 106638 + ... + 107706.

Almost surely, 2^114566868 is an apocalyptic number.

114566868 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 114566868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156765700).

114566868 is an abundant number, since it is smaller than the sum of its proper divisors (198964532).

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

114566868 is a wasteful number, since it uses less digits than its factorization.

114566868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1316 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 114566868 is about 10703.5913599128. The cubic root of 114566868 is about 485.6831242325.

The spelling of 114566868 in words is "one hundred fourteen million, five hundred sixty-six thousand, eight hundred sixty-eight".