23255451648 has 768 divisors, whose sum is σ = 86187628800. Its totient is φ = 6086983680.

The previous prime is 23255451619. The next prime is 23255451649. The reversal of 23255451648 is 84615455232.

23255451648 is a `hidden beast` number, since 2 + 3 + 2 + 554 + 51 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23255451649) 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, 134424490 + ... + 134424662.

It is an arithmetic number, because the mean of its divisors is an integer number (112223475).

Almost surely, 2^23255451648 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 23255451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43093814400).

23255451648 is an abundant number, since it is smaller than the sum of its proper divisors (62932177152).

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

23255451648 is a wasteful number, since it uses less digits than its factorization.

23255451648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 23255451648 in words is "twenty-three billion, two hundred fifty-five million, four hundred fifty-one thousand, six hundred forty-eight".