114444353252200 has 24 divisors (see below), whose sum is σ = 266083121311830. Its totient is φ = 45777741300800.

The previous prime is 114444353252189. The next prime is 114444353252249. The reversal of 114444353252200 is 2252353444411.

It can be written as a sum of positive squares in 3 ways, for example, as 110127939802596 + 4316413449604 = 10494186^2 + 2077598^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286110882931 + ... + 286110883330.

Almost surely, 2^{114444353252200} is an apocalyptic number.

114444353252200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114444353252200 is an abundant number, since it is smaller than the sum of its proper divisors (151638768059630).

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

114444353252200 is a wasteful number, since it uses less digits than its factorization.

114444353252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572221766277 (or 572221766268 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 114444353252200 in words is "one hundred fourteen trillion, four hundred forty-four billion, three hundred fifty-three million, two hundred fifty-two thousand, two hundred".