114044365224 has 96 divisors (see below), whose sum is σ = 327359209320. Its totient is φ = 35743592448.

The previous prime is 114044365151. The next prime is 114044365243. The reversal of 114044365224 is 422563440411.

114044365224 is a `hidden beast` number, since 1 + 140 + 443 + 6 + 52 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113198602500 + 845762724 = 336450^2 + 29082^2 .

It is a super-2 number, since 2×114044365224² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219294 + ... + 1309490.

Almost surely, 2^114044365224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114044365224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163679604660).

114044365224 is an abundant number, since it is smaller than the sum of its proper divisors (213314844096).

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

114044365224 is a wasteful number, since it uses less digits than its factorization.

114044365224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91259 (or 91252 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 114044365224 in words is "one hundred fourteen billion, forty-four million, three hundred sixty-five thousand, two hundred twenty-four".