32741816809 has 27 divisors (see below), whose sum is σ = 36716505669. Its totient is φ = 29183132160.

The previous prime is 32741816719. The next prime is 32741816831. The reversal of 32741816809 is 90861814723.

The square root of 32741816809 is 180947.

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 2475560025 + 30266256784 = 49755^2 + 173972^2 .

It is not a de Polignac number, because 32741816809 - 2²³ = 32733428201 is a prime.

It is a super-2 number, since 2×32741816809² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32741816609) 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, 72921417 + ... + 72921865.

Almost surely, 2^32741816809 is an apocalyptic number.

32741816809 is the 180947-th square number.

32741816809 is the 90474-th centered octagonal number.

It is an amenable number.

32741816809 is a deficient number, since it is larger than the sum of its proper divisors (3974688860).

32741816809 is an frugal number, since it uses more digits than its factorization.

32741816809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 32741816809 by its sum of digits (49), we get a square (1604349023641 = 1266629²).

The spelling of 32741816809 in words is "thirty-two billion, seven hundred forty-one million, eight hundred sixteen thousand, eight hundred nine".