23300133414432 has 192 divisors, whose sum is σ = 71392953139200. Its totient is φ = 6515054171136.

The previous prime is 23300133414419. The next prime is 23300133414461. The reversal of 23300133414432 is 23441433100332.

It is a happy number.

It is a super-2 number, since 2×23300133414432² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23300133414393 and 23300133414402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743755953 + ... + 743787279.

It is an arithmetic number, because the mean of its divisors is an integer number (371838297600).

Almost surely, 2^{23300133414432} 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 23300133414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35696476569600).

23300133414432 is an abundant number, since it is smaller than the sum of its proper divisors (48092819724768).

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

23300133414432 is a wasteful number, since it uses less digits than its factorization.

23300133414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54943 (or 54935 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 23300133414432 its reverse (23441433100332), we get a palindrome (46741566514764).

The spelling of 23300133414432 in words is "twenty-three trillion, three hundred billion, one hundred thirty-three million, four hundred fourteen thousand, four hundred thirty-two".