82364288246328 has 64 divisors (see below), whose sum is σ = 224635769164800. Its totient is φ = 24958220545280.

The previous prime is 82364288246287. The next prime is 82364288246369.

82364288246328 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (82364288246287) and next prime (82364288246369).

It is a Harshad number since it is a multiple of its sum of digits (66).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6039388 + ... + 14184596.

It is an arithmetic number, because the mean of its divisors is an integer number (3509933893200).

Almost surely, 2^{82364288246328} is an apocalyptic number.

82364288246328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82364288246328 is an abundant number, since it is smaller than the sum of its proper divisors (142271480918472).

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

82364288246328 is a wasteful number, since it uses less digits than its factorization.

82364288246328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183532 (or 8183528 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 66.

The spelling of 82364288246328 in words is "eighty-two trillion, three hundred sixty-four billion, two hundred eighty-eight million, two hundred forty-six thousand, three hundred twenty-eight".