23945096448 has 288 divisors, whose sum is σ = 87152889600. Its totient is φ = 6315024384.

The previous prime is 23945096431. The next prime is 23945096471. The reversal of 23945096448 is 84469054932.

23945096448 is a `hidden beast` number, since 2 + 3 + 94 + 509 + 6 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 23945096394 and 23945096403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609958 + ... + 648026.

It is an arithmetic number, because the mean of its divisors is an integer number (302614200).

Almost surely, 2^23945096448 is an apocalyptic number.

23945096448 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 23945096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43576444800).

23945096448 is an abundant number, since it is smaller than the sum of its proper divisors (63207793152).

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

23945096448 is a wasteful number, since it uses less digits than its factorization.

23945096448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38114 (or 38094 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 23945096448 in words is "twenty-three billion, nine hundred forty-five million, ninety-six thousand, four hundred forty-eight".