23300414304132 has 288 divisors, whose sum is σ = 66315770357760. Its totient is φ = 6336818611200.

The previous prime is 23300414304113. The next prime is 23300414304133. The reversal of 23300414304132 is 23140341400332.

It is a happy number.

It is a super-2 number, since 2×23300414304132² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23300414304132.

It is not an unprimeable number, because it can be changed into a prime (23300414304133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2380746543 + ... + 2380756329.

It is an arithmetic number, because the mean of its divisors is an integer number (230263091520).

Almost surely, 2^{23300414304132} 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 23300414304132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33157885178880).

23300414304132 is an abundant number, since it is smaller than the sum of its proper divisors (43015356053628).

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

23300414304132 is a wasteful number, since it uses less digits than its factorization.

23300414304132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10671 (or 10662 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 23300414304132 its reverse (23140341400332), we get a palindrome (46440755704464).

The spelling of 23300414304132 in words is "twenty-three trillion, three hundred billion, four hundred fourteen million, three hundred four thousand, one hundred thirty-two".