82141329114 has 192 divisors, whose sum is σ = 203939893248. Its totient is φ = 23710579200.

The previous prime is 82141329107. The next prime is 82141329133. The reversal of 82141329114 is 41192314128.

82141329114 is a `hidden beast` number, since 8 + 214 + 1 + 329 + 114 = 666.

It is a super-3 number, since 3×82141329114³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124267944 + ... + 124268604.

It is an arithmetic number, because the mean of its divisors is an integer number (1062186944).

Almost surely, 2^82141329114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82141329114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101969946624).

82141329114 is an abundant number, since it is smaller than the sum of its proper divisors (121798564134).

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

82141329114 is a wasteful number, since it uses less digits than its factorization.

82141329114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1210 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 82141329114 in words is "eighty-two billion, one hundred forty-one million, three hundred twenty-nine thousand, one hundred fourteen".