114422218560 has 168 divisors, whose sum is σ = 423839106600. Its totient is φ = 28165459968.

The previous prime is 114422218543. The next prime is 114422218567. The reversal of 114422218560 is 65812224411.

114422218560 is a `hidden beast` number, since 1 + 14 + 422 + 218 + 5 + 6 + 0 = 666.

114422218560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 118722816 + 114303495744 = 10896^2 + 338088^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114422218567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1490635 + ... + 1565514.

It is an arithmetic number, because the mean of its divisors is an integer number (2522851825).

Almost surely, 2^114422218560 is an apocalyptic number.

114422218560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114422218560 is an abundant number, since it is smaller than the sum of its proper divisors (309416888040).

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

114422218560 is a wasteful number, since it uses less digits than its factorization.

114422218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056185 (or 3056172 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 114422218560 in words is "one hundred fourteen billion, four hundred twenty-two million, two hundred eighteen thousand, five hundred sixty".