23002211220032 has 224 divisors, whose sum is σ = 51383139913728. Its totient is φ = 10126010880000.

The previous prime is 23002211220031. The next prime is 23002211220041.

It is a happy number.

23002211220032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 23002211219986 and 23002211220013.

It is not an unprimeable number, because it can be changed into a prime (23002211220031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2213661557 + ... + 2213671947.

It is an arithmetic number, because the mean of its divisors is an integer number (229389017472).

Almost surely, 2^{23002211220032} is an apocalyptic number.

23002211220032 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 23002211220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25691569956864).

23002211220032 is an abundant number, since it is smaller than the sum of its proper divisors (28380928693696).

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

23002211220032 is a wasteful number, since it uses less digits than its factorization.

23002211220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11009 (or 10999 counting only the distinct ones).

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

It can be divided in two parts, 2300221 and 1220032, that added together give a palindrome (3520253).

The spelling of 23002211220032 in words is "twenty-three trillion, two billion, two hundred eleven million, two hundred twenty thousand, thirty-two".