82319786869401 has 16 divisors (see below), whose sum is σ = 121957578157120. Its totient is φ = 54878805655200.

The previous prime is 82319786869399. The next prime is 82319786869417. The reversal of 82319786869401 is 10496868791328.

82319786869401 is a `hidden beast` number, since 8 + 2 + 31 + 9 + 78 + 68 + 69 + 401 = 666.

It is not a de Polignac number, because 82319786869401 - 2¹ = 82319786869399 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 82319786869401.

It is not an unprimeable number, because it can be changed into a prime (82319786869471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27793855 + ... + 30612708.

It is an arithmetic number, because the mean of its divisors is an integer number (7622348634820).

Almost surely, 2^{82319786869401} is an apocalyptic number.

It is an amenable number.

82319786869401 is a deficient number, since it is larger than the sum of its proper divisors (39637791287719).

82319786869401 is a wasteful number, since it uses less digits than its factorization.

82319786869401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58458773 (or 58458767 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 82319786869401 in words is "eighty-two trillion, three hundred nineteen billion, seven hundred eighty-six million, eight hundred sixty-nine thousand, four hundred one".