23240434896 has 480 divisors, whose sum is σ = 82015584000. Its totient is φ = 6169789440.

The previous prime is 23240434883. The next prime is 23240434897. The reversal of 23240434896 is 69843404232.

23240434896 is a `hidden beast` number, since 232 + 404 + 3 + 4 + 8 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23240434897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66591330 + ... + 66591678.

It is an arithmetic number, because the mean of its divisors is an integer number (170865800).

Almost surely, 2^23240434896 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 23240434896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41007792000).

23240434896 is an abundant number, since it is smaller than the sum of its proper divisors (58775149104).

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

23240434896 is a wasteful number, since it uses less digits than its factorization.

23240434896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 23240434896 in words is "twenty-three billion, two hundred forty million, four hundred thirty-four thousand, eight hundred ninety-six".