23814056448 has 960 divisors, whose sum is σ = 92348256000. Its totient is φ = 5852528640.

The previous prime is 23814056381. The next prime is 23814056473. The reversal of 23814056448 is 84465041832.

23814056448 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 40 + 564 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390394338 + ... + 390394398.

It is an arithmetic number, because the mean of its divisors is an integer number (96196100).

Almost surely, 2^23814056448 is an apocalyptic number.

23814056448 is a gapful number since it is divisible by the number (28) 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 23814056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46174128000).

23814056448 is an abundant number, since it is smaller than the sum of its proper divisors (68534199552).

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

23814056448 is a wasteful number, since it uses less digits than its factorization.

23814056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 23814056448 in words is "twenty-three billion, eight hundred fourteen million, fifty-six thousand, four hundred forty-eight".