817796471041 has 27 divisors (see below), whose sum is σ = 905364610563. Its totient is φ = 738142973040.

The previous prime is 817796470999. The next prime is 817796471047. The reversal of 817796471041 is 140174697718.

The square root of 817796471041 is 904321.

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., 761655907441 + 56140563600 = 872729^2 + 236940^2 .

It is not a de Polignac number, because 817796471041 - 2¹⁵ = 817796438273 is a prime.

It is a super-2 number, since 2×817796471041² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (817796471047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2277984420 + ... + 2277984778.

Almost surely, 2^817796471041 is an apocalyptic number.

817796471041 is the 904321-st square number.

817796471041 is the 452161-st centered octagonal number.

It is an amenable number.

817796471041 is a deficient number, since it is larger than the sum of its proper divisors (87568139522).

817796471041 is an frugal number, since it uses more digits than its factorization.

817796471041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 55.

The spelling of 817796471041 in words is "eight hundred seventeen billion, seven hundred ninety-six million, four hundred seventy-one thousand, forty-one".