83959119049 has 27 divisors (see below), whose sum is σ = 94072473639. Its totient is φ = 74896389360.

The previous prime is 83959119037. The next prime is 83959119059. The reversal of 83959119049 is 94091195938.

It is a happy number.

The square root of 83959119049 is 289757.

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., 12419988025 + 71539131024 = 111445^2 + 267468^2 .

It is not a de Polignac number, because 83959119049 - 2¹¹ = 83959117001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83959118984 and 83959119002.

It is not an unprimeable number, because it can be changed into a prime (83959119059) 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 26 ways as a sum of consecutive naturals, for example, 116771712 + ... + 116772430.

Almost surely, 2^83959119049 is an apocalyptic number.

83959119049 is the 289757-th square number.

83959119049 is the 144879-th centered octagonal number.

It is an amenable number.

83959119049 is a deficient number, since it is larger than the sum of its proper divisors (10113354590).

83959119049 is an frugal number, since it uses more digits than its factorization.

83959119049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 58.

The spelling of 83959119049 in words is "eighty-three billion, nine hundred fifty-nine million, one hundred nineteen thousand, forty-nine".