23323398400 has 243 divisors, whose sum is σ = 61083989029. Its totient is φ = 8816220160.

The previous prime is 23323398367. The next prime is 23323398407. The reversal of 23323398400 is 489332332.

The square root of 23323398400 is 152720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8396423424 + 14926974976 = 91632^2 + 122176^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23323398400.

It is not an unprimeable number, because it can be changed into a prime (23323398407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 281004759 + ... + 281004841.

Almost surely, 2^23323398400 is an apocalyptic number.

23323398400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23323398400 is the 152720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23323398400

23323398400 is an abundant number, since it is smaller than the sum of its proper divisors (37760590629).

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

23323398400 is an frugal number, since it uses more digits than its factorization.

23323398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 23323398400 in words is "twenty-three billion, three hundred twenty-three million, three hundred ninety-eight thousand, four hundred".