23000030032000 has 384 divisors, whose sum is σ = 66605231674800. Its totient is φ = 7875616358400.

The previous prime is 23000030031977. The next prime is 23000030032009. The reversal of 23000030032000 is 23003000032.

It can be written as a sum of positive squares in 8 ways, for example, as 257584670784 + 22742445361216 = 507528^2 + 4768904^2 .

It is not an unprimeable number, because it can be changed into a prime (23000030032009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624829596 + ... + 624866404.

Almost surely, 2^{23000030032000} is an apocalyptic number.

23000030032000 is a gapful number since it is divisible by the number (20) 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 23000030032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33302615837400).

23000030032000 is an abundant number, since it is smaller than the sum of its proper divisors (43605201642800).

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

23000030032000 is an equidigital number, since it uses as much as digits as its factorization.

23000030032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37649 (or 37620 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

Adding to 23000030032000 its reverse (23003000032), we get a palindrome (23023033032032).

The spelling of 23000030032000 in words is "twenty-three trillion, thirty million, thirty-two thousand".