23023032032 has 432 divisors, whose sum is σ = 65073861216. Its totient is φ = 7800883200.

The previous prime is 23023032029. The next prime is 23023032079.

23023032032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 23023031995 and 23023032013.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 127198982 + ... + 127199162.

It is an arithmetic number, because the mean of its divisors is an integer number (150633938).

Almost surely, 2^23023032032 is an apocalyptic number.

23023032032 is a gapful number since it is divisible by the number (22) 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 23023032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32536930608).

23023032032 is an abundant number, since it is smaller than the sum of its proper divisors (42050829184).

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

23023032032 is a wasteful number, since it uses less digits than its factorization.

23023032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

It can be divided in two parts, 230230 and 32032, that added together give a palindrome (262262).

The spelling of 23023032032 in words is "twenty-three billion, twenty-three million, thirty-two thousand, thirty-two".