114355563300 has 648 divisors, whose sum is σ = 410097955176. Its totient is φ = 26611200000.

The previous prime is 114355563281. The next prime is 114355563313. The reversal of 114355563300 is 3365553411.

114355563300 is a `hidden beast` number, since 1 + 1 + 43 + 55 + 563 + 3 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 655769664 + 113699793636 = 25608^2 + 337194^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 406959160 + ... + 406959440.

Almost surely, 2^114355563300 is an apocalyptic number.

114355563300 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 114355563300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205048977588).

114355563300 is an abundant number, since it is smaller than the sum of its proper divisors (295742391876).

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

114355563300 is a wasteful number, since it uses less digits than its factorization.

114355563300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 114355563300 in words is "one hundred fourteen billion, three hundred fifty-five million, five hundred sixty-three thousand, three hundred".