23242464000 has 1296 divisors, whose sum is σ = 102544749216. Its totient is φ = 5225472000.

The previous prime is 23242463987. The next prime is 23242464023. The reversal of 23242464000 is 46424232.

23242464000 is a `hidden beast` number, since 232 + 4 + 24 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 381023970 + ... + 381024030.

Almost surely, 2^23242464000 is an apocalyptic number.

23242464000 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 23242464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51272374608).

23242464000 is an abundant number, since it is smaller than the sum of its proper divisors (79302285216).

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

23242464000 is an frugal number, since it uses more digits than its factorization.

23242464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 23242464000 its reverse (46424232), we get a palindrome (23288888232).

The spelling of 23242464000 in words is "twenty-three billion, two hundred forty-two million, four hundred sixty-four thousand".