23254444445232 has 320 divisors, whose sum is σ = 80737942440960. Its totient is φ = 5570018611200.

The previous prime is 23254444445189. The next prime is 23254444445257.

23254444445232 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48819994 + ... + 49294022.

It is an arithmetic number, because the mean of its divisors is an integer number (252306070128).

Almost surely, 2^{23254444445232} is an apocalyptic number.

23254444445232 is a gapful number since it is divisible by the number (22) 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 23254444445232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40368971220480).

23254444445232 is an abundant number, since it is smaller than the sum of its proper divisors (57483497995728).

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

23254444445232 is a wasteful number, since it uses less digits than its factorization.

23254444445232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475092 (or 475086 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

The spelling of 23254444445232 in words is "twenty-three trillion, two hundred fifty-four billion, four hundred forty-four million, four hundred forty-five thousand, two hundred thirty-two".