83081620767744 has 165 divisors, whose sum is σ = 248105801811637. Its totient is φ = 27692998557696.

The previous prime is 83081620767703. The next prime is 83081620767757. The reversal of 83081620767744 is 44776702618038.

The square root of 83081620767744 is 9114912.

It is a perfect power (a square), and thus also a powerful number.

83081620767744 is a `hidden beast` number, since 8 + 308 + 16 + 207 + 6 + 77 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72677125407744 + 10404495360000 = 8525088^2 + 3225600^2 .

It is a super-2 number, since 2×83081620767744² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2625078832 + ... + 2625110480.

Almost surely, 2^{83081620767744} is an apocalyptic number.

83081620767744 is the 9114912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83081620767744

83081620767744 is an abundant number, since it is smaller than the sum of its proper divisors (165024181043893).

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

83081620767744 is an frugal number, since it uses more digits than its factorization.

83081620767744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63330 (or 31654 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 83081620767744 in words is "eighty-three trillion, eighty-one billion, six hundred twenty million, seven hundred sixty-seven thousand, seven hundred forty-four".