114220032032 has 48 divisors (see below), whose sum is σ = 229222065240. Its totient is φ = 56005926912.

The previous prime is 114220032007. The next prime is 114220032071. The reversal of 114220032032 is 230230022411.

It can be written as a sum of positive squares in 4 ways, for example, as 110519013136 + 3701018896 = 332444^2 + 60836^2 .

It is a super-2 number, since 2×114220032032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114220031995 and 114220032013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3840194 + ... + 3869822.

Almost surely, 2^114220032032 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 114220032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114611032620).

114220032032 is an abundant number, since it is smaller than the sum of its proper divisors (115002033208).

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

114220032032 is a wasteful number, since it uses less digits than its factorization.

114220032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31965 (or 31957 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 114220032032 its reverse (230230022411), we get a palindrome (344450054443).

The spelling of 114220032032 in words is "one hundred fourteen billion, two hundred twenty million, thirty-two thousand, thirty-two".