83799249361 has 9 divisors (see below), whose sum is σ = 84455356881. Its totient is φ = 83148206592.

The previous prime is 83799249341. The next prime is 83799249397. The reversal of 83799249361 is 16394299738.

The square root of 83799249361 is 289481.

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 32052098961 + 51747150400 = 179031^2 + 227480^2 .

It is not a de Polignac number, because 83799249361 - 2¹⁵ = 83799216593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83799249361.

It is not an unprimeable number, because it can be changed into a prime (83799249341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39657841 + ... + 39659953.

Almost surely, 2^83799249361 is an apocalyptic number.

83799249361 is the 289481-st square number.

83799249361 is the 144741-st centered octagonal number.

It is an amenable number.

83799249361 is a deficient number, since it is larger than the sum of its proper divisors (656107520).

83799249361 is an frugal number, since it uses more digits than its factorization.

83799249361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 2250 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 61.

The spelling of 83799249361 in words is "eighty-three billion, seven hundred ninety-nine million, two hundred forty-nine thousand, three hundred sixty-one".