114918400 has 99 divisors (see below), whose sum is σ = 289173549. Its totient is φ = 45281280.

The previous prime is 114918361. The next prime is 114918421. The reversal of 114918400 is 4819411.

The square root of 114918400 is 10720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41370624 + 73547776 = 6432^2 + 8576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1715167 + ... + 1715233.

Almost surely, 2^114918400 is an apocalyptic number.

114918400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114918400 is the 10720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114918400

114918400 is an abundant number, since it is smaller than the sum of its proper divisors (174255149).

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

114918400 is an frugal number, since it uses more digits than its factorization.

114918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The cubic root of 114918400 is about 486.1793666938.

It can be divided in two parts, 11491 and 8400, that added together give a palindrome (19891).

The spelling of 114918400 in words is "one hundred fourteen million, nine hundred eighteen thousand, four hundred".