82512218912 has 162 divisors, whose sum is σ = 180471315843. Its totient is φ = 37126354944.

The previous prime is 82512218891. The next prime is 82512218951. The reversal of 82512218912 is 21981221528.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 65882568976 + 16629649936 = 256676^2 + 128956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=203116.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82512218912.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 801089453 + ... + 801089555.

Almost surely, 2^82512218912 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 82512218912

82512218912 is an abundant number, since it is smaller than the sum of its proper divisors (97959096931).

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

82512218912 is a wasteful number, since it uses less digits than its factorization.

82512218912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 151 counting only the distinct ones).

The product of its digits is 46080, while the sum is 41.

The spelling of 82512218912 in words is "eighty-two billion, five hundred twelve million, two hundred eighteen thousand, nine hundred twelve".