23057768448 has 560 divisors, whose sum is σ = 81260204256. Its totient is φ = 6449725440.

The previous prime is 23057768413. The next prime is 23057768501. The reversal of 23057768448 is 84486775032.

23057768448 is a `hidden beast` number, since 2 + 3 + 0 + 577 + 68 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23057768394 and 23057768403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1773674490 + ... + 1773674502.

Almost surely, 2^23057768448 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 23057768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40630102128).

23057768448 is an abundant number, since it is smaller than the sum of its proper divisors (58202435808).

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

23057768448 is an frugal number, since it uses more digits than its factorization.

23057768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 23057768448 in words is "twenty-three billion, fifty-seven million, seven hundred sixty-eight thousand, four hundred forty-eight".