23442048000 has 1760 divisors, whose sum is σ = 111280815360. Its totient is φ = 4777574400.

The previous prime is 23442047999. The next prime is 23442048023. The reversal of 23442048000 is 84024432.

It is a happy number.

23442048000 is a `hidden beast` number, since 234 + 420 + 4 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×23442048000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1233791991 + ... + 1233792009.

It is an arithmetic number, because the mean of its divisors is an integer number (63227736).

Almost surely, 2^23442048000 is an apocalyptic number.

23442048000 is a gapful number since it is divisible by the number (20) 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 23442048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55640407680).

23442048000 is an abundant number, since it is smaller than the sum of its proper divisors (87838767360).

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

23442048000 is a wasteful number, since it uses less digits than its factorization.

23442048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 23442048000 in words is "twenty-three billion, four hundred forty-two million, forty-eight thousand".