32913216400 has 135 divisors (see below), whose sum is σ = 81213005811. Its totient is φ = 12818411520.

The previous prime is 32913216383. The next prime is 32913216403. The reversal of 32913216400 is 461231923.

The square root of 32913216400 is 181420.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5293435536 + 27619780864 = 72756^2 + 166192^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32913216403) 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 26 ways as a sum of consecutive naturals, for example, 170534704 + ... + 170534896.

Almost surely, 2^32913216400 is an apocalyptic number.

32913216400 is the 181420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32913216400

32913216400 is an abundant number, since it is smaller than the sum of its proper divisors (48299789411).

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

32913216400 is an equidigital number, since it uses as much as digits as its factorization.

32913216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 32913216400 in words is "thirty-two billion, nine hundred thirteen million, two hundred sixteen thousand, four hundred".