32996359201 has 27 divisors (see below), whose sum is σ = 36367384491. Its totient is φ = 29924129664.

The previous prime is 32996359171. The next prime is 32996359211. The reversal of 32996359201 is 10295369923.

It is a happy number.

The square root of 32996359201 is 181649.

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 32256519201 + 739840000 = 179601^2 + 27200^2 .

It is not a de Polignac number, because 32996359201 - 2²⁵ = 32962804769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32996359211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 210167815 + ... + 210167971.

Almost surely, 2^32996359201 is an apocalyptic number.

32996359201 is the 181649-th square number.

32996359201 is the 90825-th centered octagonal number.

It is an amenable number.

32996359201 is a deficient number, since it is larger than the sum of its proper divisors (3371025290).

32996359201 is an frugal number, since it uses more digits than its factorization.

32996359201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 49.

Multiplying 32996359201 by its sum of digits (49), we get a square (1616821600849 = 1271543²).

The spelling of 32996359201 in words is "thirty-two billion, nine hundred ninety-six million, three hundred fifty-nine thousand, two hundred one".