82819630656 has 315 divisors, whose sum is σ = 286086532347. Its totient is φ = 23621310720.

The previous prime is 82819630591. The next prime is 82819630703. The reversal of 82819630656 is 65603691828.

It is a happy number.

The square root of 82819630656 is 287784.

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

82819630656 is a `hidden beast` number, since 8 + 281 + 9 + 6 + 306 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 145042851 + ... + 145043421.

Almost surely, 2^82819630656 is an apocalyptic number.

82819630656 is the 287784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82819630656

82819630656 is an abundant number, since it is smaller than the sum of its proper divisors (203266901691).

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

82819630656 is an frugal number, since it uses more digits than its factorization.

82819630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 82819630656 in words is "eighty-two billion, eight hundred nineteen million, six hundred thirty thousand, six hundred fifty-six".