23000413032 has 96 divisors (see below), whose sum is σ = 62978160960. Its totient is φ = 7582848000.

The previous prime is 23000413001. The next prime is 23000413063. The reversal of 23000413032 is 23031400032.

It is an interprime number because it is at equal distance from previous prime (23000413001) and next prime (23000413063).

It is a super-4 number, since 4×23000413032⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23000412996 and 23000413014.

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, 2929432 + ... + 2937272.

It is an arithmetic number, because the mean of its divisors is an integer number (656022510).

Almost surely, 2^23000413032 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 23000413032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31489080480).

23000413032 is an abundant number, since it is smaller than the sum of its proper divisors (39977747928).

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

23000413032 is a wasteful number, since it uses less digits than its factorization.

23000413032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8295 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23000413032 its reverse (23031400032), we get a palindrome (46031813064).

The spelling of 23000413032 in words is "twenty-three billion, four hundred thirteen thousand, thirty-two".