82346021803368 has 160 divisors (see below), whose sum is σ = 233321629428360. Its totient is φ = 27131062579200.

The previous prime is 82346021803343. The next prime is 82346021803433. The reversal of 82346021803368 is 86330812064328.

82346021803368 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 60 + 218 + 0 + 3 + 368 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71857867517604 + 10488154285764 = 8476902^2 + 3238542^2 .

It is a super-2 number, since 2×82346021803368² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37749796 + ... + 39871532.

Almost surely, 2^{82346021803368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82346021803368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116660814714180).

82346021803368 is an abundant number, since it is smaller than the sum of its proper divisors (150975607624992).

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

82346021803368 is a wasteful number, since it uses less digits than its factorization.

82346021803368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122449 (or 2122436 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 82346021803368 in words is "eighty-two trillion, three hundred forty-six billion, twenty-one million, eight hundred three thousand, three hundred sixty-eight".