32129128516 has 81 divisors (see below), whose sum is σ = 61168959831. Its totient is φ = 14764134528.

The previous prime is 32129128489. The next prime is 32129128517. The reversal of 32129128516 is 61582192123.

It is a happy number.

The square root of 32129128516 is 179246.

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 339664900 + 31789463616 = 18430^2 + 178296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32129128517) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 361001400 + ... + 361001488.

Almost surely, 2^32129128516 is an apocalyptic number.

32129128516 is the 179246-th square number.

It is an amenable number.

32129128516 is a deficient number, since it is larger than the sum of its proper divisors (29039831315).

32129128516 is an equidigital number, since it uses as much as digits as its factorization.

32129128516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

It can be divided in two parts, 32129 and 128516, that multiplied together give a square (4129090564 = 64258²).

The spelling of 32129128516 in words is "thirty-two billion, one hundred twenty-nine million, one hundred twenty-eight thousand, five hundred sixteen".