114505252200 has 144 divisors (see below), whose sum is σ = 385025877600. Its totient is φ = 30496694400.

The previous prime is 114505252153. The next prime is 114505252219. The reversal of 114505252200 is 2252505411.

114505252200 is a `hidden beast` number, since 1 + 1 + 450 + 5 + 2 + 5 + 2 + 200 = 666.

It is a super-2 number, since 2×114505252200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1420581 + ... + 1499019.

Almost surely, 2^114505252200 is an apocalyptic number.

114505252200 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 114505252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192512938800).

114505252200 is an abundant number, since it is smaller than the sum of its proper divisors (270520625400).

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

114505252200 is a wasteful number, since it uses less digits than its factorization.

114505252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79272 (or 79260 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 114505252200 its reverse (2252505411), we get a palindrome (116757757611).

The spelling of 114505252200 in words is "one hundred fourteen billion, five hundred five million, two hundred fifty-two thousand, two hundred".