982633323336289 has 16 divisors (see below), whose sum is σ = 1027678290037632. Its totient is φ = 937781867962368.

The previous prime is 982633323336271. The next prime is 982633323336307.

982633323336289 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (982633323336271) and next prime (982633323336307).

It is a de Polignac number, because none of the positive numbers 2^k-982633323336289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (982633323336239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2083587937 + ... + 2084059489.

It is an arithmetic number, because the mean of its divisors is an integer number (64229893127352).

Almost surely, 2^{982633323336289} is an apocalyptic number.

It is an amenable number.

982633323336289 is a deficient number, since it is larger than the sum of its proper divisors (45044966701343).

982633323336289 is a wasteful number, since it uses less digits than its factorization.

982633323336289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676536.

The product of its digits is 1088391168, while the sum is 70.

The spelling of 982633323336289 in words is "nine hundred eighty-two trillion, six hundred thirty-three billion, three hundred twenty-three million, three hundred thirty-six thousand, two hundred eighty-nine".