998962269361 has 81 divisors (see below), whose sum is σ = 1274313910401. Its totient is φ = 780650631936.

The previous prime is 998962269313. The next prime is 998962269391. The reversal of 998962269361 is 163962269899.

The square root of 998962269361 is 999481.

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 464688985761 + 534273283600 = 681681^2 + 730940^2 .

It is not a de Polignac number, because 998962269361 - 2³³ = 990372334769 is a prime.

Its product of digits (136048896) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (998962269391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4400714730 + ... + 4400714956.

Almost surely, 2^998962269361 is an apocalyptic number.

998962269361 is the 999481-st square number.

998962269361 is the 499741-st centered octagonal number.

It is an amenable number.

998962269361 is a deficient number, since it is larger than the sum of its proper divisors (275351641040).

998962269361 is an equidigital number, since it uses as much as digits as its factorization.

998962269361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 70.

The spelling of 998962269361 in words is "nine hundred ninety-eight billion, nine hundred sixty-two million, two hundred sixty-nine thousand, three hundred sixty-one".