23454304000 has 144 divisors (see below), whose sum is σ = 58859105760. Its totient is φ = 9312460800.

The previous prime is 23454303989. The next prime is 23454304001. The reversal of 23454304000 is 40345432.

It is a super-2 number, since 2×23454304000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23454304001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4445364 + ... + 4450636.

It is an arithmetic number, because the mean of its divisors is an integer number (408743790).

Almost surely, 2^23454304000 is an apocalyptic number.

23454304000 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 23454304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29429552880).

23454304000 is an abundant number, since it is smaller than the sum of its proper divisors (35404801760).

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

23454304000 is an equidigital number, since it uses as much as digits as its factorization.

23454304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 23454304000 its reverse (40345432), we get a palindrome (23494649432).

The spelling of 23454304000 in words is "twenty-three billion, four hundred fifty-four million, three hundred four thousand".