82198256463 has 16 divisors (see below), whose sum is σ = 125066417760. Its totient is φ = 53317787328.

The previous prime is 82198256453. The next prime is 82198256467. The reversal of 82198256463 is 36465289128.

82198256463 is a `hidden beast` number, since 8 + 2 + 19 + 8 + 2 + 564 + 63 = 666.

It is not a de Polignac number, because 82198256463 - 2²⁵ = 82164702031 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82198256467) 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, 41139270 + ... + 41141267.

It is an arithmetic number, because the mean of its divisors is an integer number (7816651110).

Almost surely, 2^82198256463 is an apocalyptic number.

82198256463 is a deficient number, since it is larger than the sum of its proper divisors (42868161297).

82198256463 is a wasteful number, since it uses less digits than its factorization.

82198256463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82280583 (or 82280577 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 82198256463 in words is "eighty-two billion, one hundred ninety-eight million, two hundred fifty-six thousand, four hundred sixty-three".