32997947539456 has 153 divisors (see below), whose sum is σ = 69710672727093. Its totient is φ = 15617371668480.

The previous prime is 32997947539441. The next prime is 32997947539457. The reversal of 32997947539456 is 65493574979923.

The square root of 32997947539456 is 5744384.

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

It can be written as a sum of positive squares in only one way, i.e., 30263025401856 + 2734922137600 = 5501184^2 + 1653760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32997947539456.

It is not an unprimeable number, because it can be changed into a prime (32997947539457) 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, 27940683186 + ... + 27940684366.

Almost surely, 2^{32997947539456} is an apocalyptic number.

32997947539456 is the 5744384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32997947539456

32997947539456 is an abundant number, since it is smaller than the sum of its proper divisors (36712725187637).

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

32997947539456 is an frugal number, since it uses more digits than its factorization.

32997947539456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 1202 counting only the distinct ones).

The product of its digits is 13888324800, while the sum is 82.

The spelling of 32997947539456 in words is "thirty-two trillion, nine hundred ninety-seven billion, nine hundred forty-seven million, five hundred thirty-nine thousand, four hundred fifty-six".