82238568984 has 768 divisors, whose sum is σ = 289839513600. Its totient is φ = 20684160000.

The previous prime is 82238568911. The next prime is 82238568991. The reversal of 82238568984 is 48986583228.

It is a super-2 number, since 2×82238568984² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 430568329 + ... + 430568519.

It is an arithmetic number, because the mean of its divisors is an integer number (377395200).

Almost surely, 2^82238568984 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 82238568984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144919756800).

82238568984 is an abundant number, since it is smaller than the sum of its proper divisors (207600944616).

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

82238568984 is a wasteful number, since it uses less digits than its factorization.

82238568984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 82238568984 in words is "eighty-two billion, two hundred thirty-eight million, five hundred sixty-eight thousand, nine hundred eighty-four".