23632112448 has 672 divisors, whose sum is σ = 87167923200. Its totient is φ = 6132464640.

The previous prime is 23632112447. The next prime is 23632112477. The reversal of 23632112448 is 84421123632.

23632112448 is a `hidden beast` number, since 2 + 3 + 632 + 1 + 12 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (55296) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23632112447) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 220860811 + ... + 220860917.

Almost surely, 2^23632112448 is an apocalyptic number.

23632112448 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 23632112448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43583961600).

23632112448 is an abundant number, since it is smaller than the sum of its proper divisors (63535810752).

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

23632112448 is a wasteful number, since it uses less digits than its factorization.

23632112448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 169 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 23632112448 in words is "twenty-three billion, six hundred thirty-two million, one hundred twelve thousand, four hundred forty-eight".