82048082814 has 20 divisors (see below), whose sum is σ = 183848482224. Its totient is φ = 27349360884.

The previous prime is 82048082813. The next prime is 82048082843. The reversal of 82048082814 is 41828084028.

82048082814 is a `hidden beast` number, since 82 + 0 + 480 + 82 + 8 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82048082814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82048082813) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 253234662 + ... + 253234985.

Almost surely, 2^82048082814 is an apocalyptic number.

82048082814 is an abundant number, since it is smaller than the sum of its proper divisors (101800399410).

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

82048082814 is a wasteful number, since it uses less digits than its factorization.

82048082814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506469661 (or 506469652 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 82048082814 in words is "eighty-two billion, forty-eight million, eighty-two thousand, eight hundred fourteen".