32796249693601 has 9 divisors (see below), whose sum is σ = 33124764241209. Its totient is φ = 32470961670000.

The previous prime is 32796249693553. The next prime is 32796249693733. The reversal of 32796249693601 is 10639694269723.

The square root of 32796249693601 is 5726801.

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 14605001079201 + 18191248614400 = 3821649^2 + 4265120^2 .

It is a de Polignac number, because none of the positive numbers 2^k-32796249693601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32796249693001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 578378551 + ... + 578435251.

Almost surely, 2^{32796249693601} is an apocalyptic number.

32796249693601 is the 5726801-st square number.

32796249693601 is the 2863401-st centered octagonal number.

It is an amenable number.

32796249693601 is a deficient number, since it is larger than the sum of its proper divisors (328514547608).

32796249693601 is an frugal number, since it uses more digits than its factorization.

32796249693601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113604 (or 56802 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 67.

The spelling of 32796249693601 in words is "thirty-two trillion, seven hundred ninety-six billion, two hundred forty-nine million, six hundred ninety-three thousand, six hundred one".