114764800 has 66 divisors (see below), whose sum is σ = 284541188. Its totient is φ = 45895680.

The previous prime is 114764747. The next prime is 114764809. The reversal of 114764800 is 8467411.

It is not an unprimeable number, because it can be changed into a prime (114764809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23359 + ... + 27841.

Almost surely, 2^114764800 is an apocalyptic number.

114764800 is a gapful number since it is divisible by the number (10) 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 114764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142270594).

114764800 is an abundant number, since it is smaller than the sum of its proper divisors (169776388).

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

114764800 is an equidigital number, since it uses as much as digits as its factorization.

114764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 114764800 is about 10712.8334253828. The cubic root of 114764800 is about 485.9626609077.

The spelling of 114764800 in words is "one hundred fourteen million, seven hundred sixty-four thousand, eight hundred".