23643225504900 has 1053 divisors, whose sum is σ = 83319962047231. Its totient is φ = 5822779374720.

The previous prime is 23643225504859. The next prime is 23643225504937. The reversal of 23643225504900 is 940552234632.

The square root of 23643225504900 is 4862430.

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

23643225504900 is a `hidden beast` number, since 2 + 3 + 6 + 4 + 3 + 2 + 2 + 550 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 324988926084 + 23318236578816 = 570078^2 + 4828896^2 .

It is a super-2 number, since 2×23643225504900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 350 ways as a sum of consecutive naturals, for example, 815283638086 + ... + 815283638114.

Almost surely, 2^{23643225504900} is an apocalyptic number.

23643225504900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23643225504900 is the 4862430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23643225504900

23643225504900 is an abundant number, since it is smaller than the sum of its proper divisors (59676736542331).

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

23643225504900 is an frugal number, since it uses more digits than its factorization.

23643225504900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 23643225504900 in words is "twenty-three trillion, six hundred forty-three billion, two hundred twenty-five million, five hundred four thousand, nine hundred".