23290430432256 has 495 divisors, whose sum is σ = 75369770272731. Its totient is φ = 7160726716416.

The previous prime is 23290430432141. The next prime is 23290430432257. The reversal of 23290430432256 is 65223403409232.

The square root of 23290430432256 is 4826016.

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

23290430432256 is a `hidden beast` number, since 2 + 3 + 2 + 90 + 4 + 304 + 3 + 2 + 256 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69442790400 + 23220987641856 = 263520^2 + 4818816^2 .

It is not an unprimeable number, because it can be changed into a prime (23290430432257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18068603260 + ... + 18068604548.

Almost surely, 2^{23290430432256} is an apocalyptic number.

23290430432256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

23290430432256 is the 4826016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23290430432256

23290430432256 is an abundant number, since it is smaller than the sum of its proper divisors (52079339840475).

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

23290430432256 is an frugal number, since it uses more digits than its factorization.

23290430432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 23290430432256 in words is "twenty-three trillion, two hundred ninety billion, four hundred thirty million, four hundred thirty-two thousand, two hundred fifty-six".