114066400 has 72 divisors (see below), whose sum is σ = 318260880. Its totient is φ = 39106560.

The previous prime is 114066397. The next prime is 114066409. The reversal of 114066400 is 4660411.

It is a super-2 number, since 2×114066400² = 26022287217920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114066409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4585 + ... + 15784.

It is an arithmetic number, because the mean of its divisors is an integer number (4420290).

Almost surely, 2^114066400 is an apocalyptic number.

114066400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114066400 is an abundant number, since it is smaller than the sum of its proper divisors (204194480).

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

114066400 is a wasteful number, since it uses less digits than its factorization.

114066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20396 (or 20383 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 114066400 is about 10680.1872642758. The cubic root of 114066400 is about 484.9748809040.

The spelling of 114066400 in words is "one hundred fourteen million, sixty-six thousand, four hundred".