23214342400 has 108 divisors (see below), whose sum is σ = 57598699732. Its totient is φ = 9263185920.

The previous prime is 23214342379. The next prime is 23214342419. The reversal of 23214342400 is 424341232.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6596038656 + 16618303744 = 81216^2 + 128912^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2767012 + ... + 2775388.

Almost surely, 2^23214342400 is an apocalyptic number.

23214342400 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 23214342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28799349866).

23214342400 is an abundant number, since it is smaller than the sum of its proper divisors (34384357332).

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

23214342400 is an equidigital number, since it uses as much as digits as its factorization.

23214342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 23214342400 its reverse (424341232), we get a palindrome (23638683632).

The spelling of 23214342400 in words is "twenty-three billion, two hundred fourteen million, three hundred forty-two thousand, four hundred".