23241536904768 has 448 divisors, whose sum is σ = 79225886638080. Its totient is φ = 5848348262400.

The previous prime is 23241536904767. The next prime is 23241536904779. The reversal of 23241536904768 is 86740963514232.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×23241536904768² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23241536904763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38153688 + ... + 38758056.

It is an arithmetic number, because the mean of its divisors is an integer number (176843496960).

It is a 1-persistent number, because it is pandigital, but 2⋅23241536904768 = 46483073809536 is not.

Almost surely, 2^{23241536904768} is an apocalyptic number.

23241536904768 is a gapful number since it is divisible by the number (28) 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 23241536904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39612943319040).

23241536904768 is an abundant number, since it is smaller than the sum of its proper divisors (55984349733312).

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

23241536904768 is a wasteful number, since it uses less digits than its factorization.

23241536904768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604506 (or 604496 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 23241536904768 in words is "twenty-three trillion, two hundred forty-one billion, five hundred thirty-six million, nine hundred four thousand, seven hundred sixty-eight".