23224321234400 has 576 divisors, whose sum is σ = 71319428389440. Its totient is φ = 7254520627200.

The previous prime is 23224321234343. The next prime is 23224321234447. The reversal of 23224321234400 is 443212342232.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173020112 + ... + 173154288.

It is an arithmetic number, because the mean of its divisors is an integer number (123818452065).

Almost surely, 2^{23224321234400} is an apocalyptic number.

23224321234400 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 23224321234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35659714194720).

23224321234400 is an abundant number, since it is smaller than the sum of its proper divisors (48095107155040).

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

23224321234400 is a wasteful number, since it uses less digits than its factorization.

23224321234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134327 (or 134314 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 23224321234400 its reverse (443212342232), we get a palindrome (23667533576632).

The spelling of 23224321234400 in words is "twenty-three trillion, two hundred twenty-four billion, three hundred twenty-one million, two hundred thirty-four thousand, four hundred".