32078242816 has 99 divisors (see below), whose sum is σ = 66758510091. Its totient is φ = 15405809664.

The previous prime is 32078242789. The next prime is 32078242831. The reversal of 32078242816 is 61824287023.

The square root of 32078242816 is 179104.

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 1907942400 + 30170300416 = 43680^2 + 173696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 166208416 + ... + 166208608.

Almost surely, 2^32078242816 is an apocalyptic number.

32078242816 is the 179104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32078242816

32078242816 is an abundant number, since it is smaller than the sum of its proper divisors (34680267275).

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

32078242816 is an frugal number, since it uses more digits than its factorization.

32078242816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 32078242816 in words is "thirty-two billion, seventy-eight million, two hundred forty-two thousand, eight hundred sixteen".