23344742400 has 768 divisors, whose sum is σ = 93615436800. Its totient is φ = 5017436160.

The previous prime is 23344742389. The next prime is 23344742429. The reversal of 23344742400 is 424744332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 395673571 + ... + 395673629.

It is an arithmetic number, because the mean of its divisors is an integer number (121895100).

Almost surely, 2^23344742400 is an apocalyptic number.

23344742400 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 23344742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46807718400).

23344742400 is an abundant number, since it is smaller than the sum of its proper divisors (70270694400).

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

23344742400 is an equidigital number, since it uses as much as digits as its factorization.

23344742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 33.

The spelling of 23344742400 in words is "twenty-three billion, three hundred forty-four million, seven hundred forty-two thousand, four hundred".