23006746224 has 960 divisors, whose sum is σ = 89572933632. Its totient is φ = 5542732800.

The previous prime is 23006746223. The next prime is 23006746237. The reversal of 23006746224 is 42264760032.

23006746224 is a `hidden beast` number, since 23 + 0 + 0 + 6 + 7 + 4 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23006746223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 343384239 + ... + 343384305.

Almost surely, 2^23006746224 is an apocalyptic number.

23006746224 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 23006746224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44786466816).

23006746224 is an abundant number, since it is smaller than the sum of its proper divisors (66566187408).

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

23006746224 is a wasteful number, since it uses less digits than its factorization.

23006746224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 23006746224 in words is "twenty-three billion, six million, seven hundred forty-six thousand, two hundred twenty-four".