114400816 has 20 divisors (see below), whose sum is σ = 221817400. Its totient is φ = 57157632.

The previous prime is 114400813. The next prime is 114400829. The reversal of 114400816 is 618004411.

It is not an unprimeable number, because it can be changed into a prime (114400813) 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 3 ways as a sum of consecutive naturals, for example, 41200 + ... + 43888.

It is an arithmetic number, because the mean of its divisors is an integer number (11090870).

Almost surely, 2^114400816 is an apocalyptic number.

114400816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114400816 is a deficient number, since it is larger than the sum of its proper divisors (107416584).

114400816 is a wasteful number, since it uses less digits than its factorization.

114400816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 114400816 is about 10695.8317114659. The cubic root of 114400816 is about 485.4483627908.

The spelling of 114400816 in words is "one hundred fourteen million, four hundred thousand, eight hundred sixteen".