82486189296 has 800 divisors, whose sum is σ = 304209100800. Its totient is φ = 21045588480.

The previous prime is 82486189273. The next prime is 82486189319. The reversal of 82486189296 is 69298168428.

82486189296 is a `hidden beast` number, since 8 + 2 + 4 + 8 + 618 + 9 + 2 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (82486189273) and next prime (82486189319).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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 159 ways as a sum of consecutive naturals, for example, 229766365 + ... + 229766723.

It is an arithmetic number, because the mean of its divisors is an integer number (380261376).

Almost surely, 2^82486189296 is an apocalyptic number.

82486189296 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82486189296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152104550400).

82486189296 is an abundant number, since it is smaller than the sum of its proper divisors (221722911504).

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

82486189296 is a wasteful number, since it uses less digits than its factorization.

82486189296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 82486189296 in words is "eighty-two billion, four hundred eighty-six million, one hundred eighty-nine thousand, two hundred ninety-six".