114014400 has 84 divisors (see below), whose sum is σ = 374077992. Its totient is φ = 30402560.

The previous prime is 114014389. The next prime is 114014413. The reversal of 114014400 is 4410411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114014400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7077 + ... + 16676.

Almost surely, 2^114014400 is an apocalyptic number.

114014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114014400 is an abundant number, since it is smaller than the sum of its proper divisors (260063592).

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

114014400 is a wasteful number, since it uses less digits than its factorization.

114014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23778 (or 23763 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114014400 is about 10677.7525725220. The cubic root of 114014400 is about 484.9011737564.

Adding to 114014400 its reverse (4410411), we get a palindrome (118424811).

The spelling of 114014400 in words is "one hundred fourteen million, fourteen thousand, four hundred".