32643899418256 has 135 divisors (see below), whose sum is σ = 73901446885539. Its totient is φ = 13928194171584.

The previous prime is 32643899418187. The next prime is 32643899418257. The reversal of 32643899418256 is 65281499834623.

It is a happy number.

The square root of 32643899418256 is 5713484.

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

It is not an unprimeable number, because it can be changed into a prime (32643899418257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67030594045 + ... + 67030594531.

Almost surely, 2^{32643899418256} is an apocalyptic number.

32643899418256 is the 5713484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32643899418256

32643899418256 is an abundant number, since it is smaller than the sum of its proper divisors (41257547467283).

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

32643899418256 is an frugal number, since it uses more digits than its factorization.

32643899418256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 915 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 70.

The spelling of 32643899418256 in words is "thirty-two trillion, six hundred forty-three billion, eight hundred ninety-nine million, four hundred eighteen thousand, two hundred fifty-six".