8223875352900 has 243 divisors, whose sum is σ = 27387656414391. Its totient is φ = 2063664391680.

The previous prime is 8223875352877. The next prime is 8223875352907. The reversal of 8223875352900 is 92535783228.

It is a happy number.

The square root of 8223875352900 is 2867730.

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

8223875352900 is a `hidden beast` number, since 8 + 2 + 2 + 3 + 87 + 535 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192364696836 + 8031510656064 = 438594^2 + 2833992^2 .

It is not an unprimeable number, because it can be changed into a prime (8223875352907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1462539489 + ... + 1462545111.

Almost surely, 2^{8223875352900} is an apocalyptic number.

8223875352900 is the 2867730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8223875352900

8223875352900 is an abundant number, since it is smaller than the sum of its proper divisors (19163781061491).

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

8223875352900 is a wasteful number, since it uses less digits than its factorization.

8223875352900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11300 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 8223875352900 in words is "eight trillion, two hundred twenty-three billion, eight hundred seventy-five million, three hundred fifty-two thousand, nine hundred".