83129389771024 has 45 divisors (see below), whose sum is σ = 162045290407717. Its totient is φ = 41312777476352.

The previous prime is 83129389771013. The next prime is 83129389771061. The reversal of 83129389771024 is 42017798392138.

The square root of 83129389771024 is 9117532.

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., 8642823857424 + 74486565913600 = 2939868^2 + 8630560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6090504552 + ... + 6090518200.

Almost surely, 2^{83129389771024} is an apocalyptic number.

83129389771024 is the 9117532-nd square number.

It is an amenable number.

83129389771024 is a deficient number, since it is larger than the sum of its proper divisors (78915900636693).

83129389771024 is an frugal number, since it uses more digits than its factorization.

83129389771024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27640 (or 13818 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 64.

The spelling of 83129389771024 in words is "eighty-three trillion, one hundred twenty-nine billion, three hundred eighty-nine million, seven hundred seventy-one thousand, twenty-four".