23382447091600 has 135 divisors (see below), whose sum is σ = 57589667832121. Its totient is φ = 9123310028800.

The previous prime is 23382447091459. The next prime is 23382447091603. The reversal of 23382447091600 is 619074428332.

The square root of 23382447091600 is 4835540.

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

It can be written as a sum of positive squares in 13 ways, for example, as 16416985996944 + 6965461094656 = 4051788^2 + 2639216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23382447091603) 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, 3965139852 + ... + 3965145748.

Almost surely, 2^{23382447091600} is an apocalyptic number.

23382447091600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23382447091600 is the 4835540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23382447091600

23382447091600 is an abundant number, since it is smaller than the sum of its proper divisors (34207220740521).

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

23382447091600 is an frugal number, since it uses more digits than its factorization.

23382447091600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 23382447091600 in words is "twenty-three trillion, three hundred eighty-two billion, four hundred forty-seven million, ninety-one thousand, six hundred".