84296802206241 has 81 divisors (see below), whose sum is σ = 124547162183353. Its totient is φ = 54941072736000.

The previous prime is 84296802206219. The next prime is 84296802206273. The reversal of 84296802206241 is 14260220869248.

The square root of 84296802206241 is 9181329.

It is a perfect power (a square), and thus also a powerful number.

84296802206241 is a `hidden beast` number, since 8 + 4 + 2 + 9 + 6 + 8 + 0 + 2 + 2 + 0 + 624 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4917683232225 + 79379118974016 = 2217585^2 + 8909496^2 .

It is not a de Polignac number, because 84296802206241 - 2²⁷ = 84296667988513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84296802206641) 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, 335843833366 + ... + 335843833616.

Almost surely, 2^{84296802206241} is an apocalyptic number.

84296802206241 is the 9181329-th square number.

84296802206241 is the 4590665-th centered octagonal number.

It is an amenable number.

84296802206241 is a deficient number, since it is larger than the sum of its proper divisors (40250359977112).

84296802206241 is an frugal number, since it uses more digits than its factorization.

84296802206241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 84296802206241 in words is "eighty-four trillion, two hundred ninety-six billion, eight hundred two million, two hundred six thousand, two hundred forty-one".