82136457216 has 672 divisors, whose sum is σ = 279373925376. Its totient is φ = 24086937600.

The previous prime is 82136457203. The next prime is 82136457233. The reversal of 82136457216 is 61275463128.

82136457216 is a `hidden beast` number, since 8 + 2 + 1 + 3 + 64 + 572 + 16 = 666.

Its product of digits (483840) is a multiple of the sum of its prime factors (105).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2649563121 + ... + 2649563151.

It is an arithmetic number, because the mean of its divisors is an integer number (415735008).

Almost surely, 2^82136457216 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 82136457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139686962688).

82136457216 is an abundant number, since it is smaller than the sum of its proper divisors (197237468160).

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

82136457216 is an frugal number, since it uses more digits than its factorization.

82136457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 82136457216 in words is "eighty-two billion, one hundred thirty-six million, four hundred fifty-seven thousand, two hundred sixteen".