82569801114 has 64 divisors (see below), whose sum is σ = 193684608000. Its totient is φ = 26001926640.

The previous prime is 82569801103. The next prime is 82569801121. The reversal of 82569801114 is 41110896528.

It is a happy number.

82569801114 is a `hidden beast` number, since 8 + 2 + 569 + 80 + 1 + 1 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82569801114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256249 + ... + 480419.

It is an arithmetic number, because the mean of its divisors is an integer number (3026322000).

Almost surely, 2^82569801114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82569801114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96842304000).

82569801114 is an abundant number, since it is smaller than the sum of its proper divisors (111114806886).

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

82569801114 is a wasteful number, since it uses less digits than its factorization.

82569801114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224560 (or 224554 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 82569801114 in words is "eighty-two billion, five hundred sixty-nine million, eight hundred one thousand, one hundred fourteen".