23254231008960 has 1008 divisors, whose sum is σ = 96637222536192. Its totient is φ = 5112079257600.

The previous prime is 23254231008949. The next prime is 23254231009063. The reversal of 23254231008960 is 6980013245232.

23254231008960 is a `hidden beast` number, since 2 + 3 + 2 + 542 + 3 + 10 + 0 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 713063055 + ... + 713095665.

Almost surely, 2^{23254231008960} is an apocalyptic number.

23254231008960 is a gapful number since it is divisible by the number (20) 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 23254231008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48318611268096).

23254231008960 is an abundant number, since it is smaller than the sum of its proper divisors (73382991527232).

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

23254231008960 is a wasteful number, since it uses less digits than its factorization.

23254231008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32842 (or 32822 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23254231008960 in words is "twenty-three trillion, two hundred fifty-four billion, two hundred thirty-one million, eight thousand, nine hundred sixty".