82137267216 has 225 divisors, whose sum is σ = 251499902511. Its totient is φ = 25876179648.

The previous prime is 82137267209. The next prime is 82137267229. The reversal of 82137267216 is 61276273128.

The square root of 82137267216 is 286596.

It is a perfect power (a square), and thus also a powerful number.

82137267216 is a `hidden beast` number, since 8 + 2 + 1 + 372 + 67 + 216 = 666.

Its product of digits (338688) is a multiple of the sum of its prime factors (896).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 196031455 + ... + 196031873.

Almost surely, 2^82137267216 is an apocalyptic number.

82137267216 is the 286596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82137267216

82137267216 is an abundant number, since it is smaller than the sum of its proper divisors (169362635295).

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

82137267216 is an equidigital number, since it uses as much as digits as its factorization.

82137267216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 443 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 82137267216 in words is "eighty-two billion, one hundred thirty-seven million, two hundred sixty-seven thousand, two hundred sixteen".