32845851076900 has 81 divisors (see below), whose sum is σ = 71568328799289. Its totient is φ = 13084582431360.

The previous prime is 32845851076873. The next prime is 32845851076957. The reversal of 32845851076900 is 967015854823.

The square root of 32845851076900 is 5731130.

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 32567497758436 + 278353318464 = 5706794^2 + 527592^2 .

It is a super-2 number, since 2×32845851076900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15875229066 + ... + 15875231134.

It is a 1-persistent number, because it is pandigital, but 2⋅32845851076900 = 65691702153800 is not.

Almost surely, 2^{32845851076900} is an apocalyptic number.

32845851076900 is the 5731130-th square number.

It is an amenable number.

32845851076900 is an abundant number, since it is smaller than the sum of its proper divisors (38722477722389).

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

32845851076900 is an frugal number, since it uses more digits than its factorization.

32845851076900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 32845851076900 in words is "thirty-two trillion, eight hundred forty-five billion, eight hundred fifty-one million, seventy-six thousand, nine hundred".