798218951761 has 81 divisors (see below), whose sum is σ = 1049837189499. Its totient is φ = 604674100800.

The previous prime is 798218951681. The next prime is 798218951773. The reversal of 798218951761 is 167159812897.

The square root of 798218951761 is 893431.

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., 38462662161 + 759756289600 = 196119^2 + 871640^2 .

It is not a de Polignac number, because 798218951761 - 2¹¹ = 798218949713 is a prime.

It is a super-2 number, since 2×798218951761² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 798218951693 and 798218951702.

It is not an unprimeable number, because it can be changed into a prime (798218952761) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2820561526 + ... + 2820561808.

Almost surely, 2^798218951761 is an apocalyptic number.

798218951761 is the 893431-st square number.

798218951761 is the 446716-th centered octagonal number.

It is an amenable number.

798218951761 is a deficient number, since it is larger than the sum of its proper divisors (251618237738).

798218951761 is an equidigital number, since it uses as much as digits as its factorization.

798218951761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 342 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 64.

Multiplying 798218951761 by its sum of digits (64), we get a square (51086012912704 = 7147448²).

The spelling of 798218951761 in words is "seven hundred ninety-eight billion, two hundred eighteen million, nine hundred fifty-one thousand, seven hundred sixty-one".