8084400382864 has 45 divisors (see below), whose sum is σ = 16961406121233. Its totient is φ = 3731193475776.

The previous prime is 8084400382831. The next prime is 8084400382879. The reversal of 8084400382864 is 4682830044808.

The square root of 8084400382864 is 2843308.

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., 1195917216400 + 6888483166464 = 1093580^2 + 2624592^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 147824677 + ... + 147879355.

Almost surely, 2^{8084400382864} is an apocalyptic number.

8084400382864 is the 2843308-th square number.

It is an amenable number.

8084400382864 is an abundant number, since it is smaller than the sum of its proper divisors (8877005738369).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8084400382864 is an frugal number, since it uses more digits than its factorization.

8084400382864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109392 (or 54694 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 55.

The spelling of 8084400382864 in words is "eight trillion, eighty-four billion, four hundred million, three hundred eighty-two thousand, eight hundred sixty-four".