114199786144900 has 81 divisors (see below), whose sum is σ = 248763985629103. Its totient is φ = 45505383683200.

The previous prime is 114199786144877. The next prime is 114199786144931. The reversal of 114199786144900 is 9441687991411.

The square root of 114199786144900 is 10686430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 162504121924 + 114037282022976 = 403118^2 + 10678824^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30028866399 + ... + 30028870201.

Almost surely, 2^{114199786144900} is an apocalyptic number.

114199786144900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114199786144900 is the 10686430-th square number.

It is an amenable number.

114199786144900 is an abundant number, since it is smaller than the sum of its proper divisors (134564199484203).

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

114199786144900 is an frugal number, since it uses more digits than its factorization.

114199786144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 64.

The spelling of 114199786144900 in words is "one hundred fourteen trillion, one hundred ninety-nine billion, seven hundred eighty-six million, one hundred forty-four thousand, nine hundred".