32329478416 has 45 divisors (see below), whose sum is σ = 63552983781. Its totient is φ = 15932072832.

The previous prime is 32329478381. The next prime is 32329478473. The reversal of 32329478416 is 61487492323.

The square root of 32329478416 is 179804.

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., 5328416016 + 27001062400 = 72996^2 + 164320^2 .

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 32329478416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56817780 + ... + 56818348.

Almost surely, 2^32329478416 is an apocalyptic number.

32329478416 is the 179804-th square number.

It is an amenable number.

32329478416 is a deficient number, since it is larger than the sum of its proper divisors (31223505365).

32329478416 is an frugal number, since it uses more digits than its factorization.

32329478416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 650 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

Multiplying 32329478416 by its sum of digits (49), we get a square (1584144442384 = 1258628²).

The spelling of 32329478416 in words is "thirty-two billion, three hundred twenty-nine million, four hundred seventy-eight thousand, four hundred sixteen".