82339553142 has 192 divisors, whose sum is σ = 240521508864. Its totient is φ = 19700305920.

The previous prime is 82339553089. The next prime is 82339553171. The reversal of 82339553142 is 24135593328.

82339553142 is a `hidden beast` number, since 8 + 23 + 3 + 95 + 531 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1070238 + ... + 1144590.

It is an arithmetic number, because the mean of its divisors is an integer number (1252716192).

Almost surely, 2^82339553142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82339553142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120260754432).

82339553142 is an abundant number, since it is smaller than the sum of its proper divisors (158181955722).

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

82339553142 is a wasteful number, since it uses less digits than its factorization.

82339553142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74443 (or 74440 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 82339553142 in words is "eighty-two billion, three hundred thirty-nine million, five hundred fifty-three thousand, one hundred forty-two".