23000413333104 has 240 divisors, whose sum is σ = 67009853159392. Its totient is φ = 7359220334592.

The previous prime is 23000413333099. The next prime is 23000413333171. The reversal of 23000413333104 is 40133331400032.

23000413333104 is a `hidden beast` number, since 2 + 300 + 0 + 4 + 13 + 33 + 310 + 4 = 666.

It is a super-4 number, since 4×23000413333104⁴ (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125116584 + ... + 125300280.

Almost surely, 2^{23000413333104} is an apocalyptic number.

23000413333104 is a gapful number since it is divisible by the number (24) 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 23000413333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33504926579696).

23000413333104 is an abundant number, since it is smaller than the sum of its proper divisors (44009439826288).

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

23000413333104 is a wasteful number, since it uses less digits than its factorization.

23000413333104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184104 (or 184095 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23000413333104 its reverse (40133331400032), we get a palindrome (63133744733136).

The spelling of 23000413333104 in words is "twenty-three trillion, four hundred thirteen million, three hundred thirty-three thousand, one hundred four".