82218629376 has 216 divisors, whose sum is σ = 258530679680. Its totient is φ = 24977092608.

The previous prime is 82218629359. The next prime is 82218629387. The reversal of 82218629376 is 67392681228.

82218629376 is a `hidden beast` number, since 8 + 2 + 2 + 1 + 8 + 629 + 3 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2348835 + ... + 2383581.

Almost surely, 2^82218629376 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 82218629376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129265339840).

82218629376 is an abundant number, since it is smaller than the sum of its proper divisors (176312050304).

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

82218629376 is a wasteful number, since it uses less digits than its factorization.

82218629376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34861 (or 34844 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 82218629376 in words is "eighty-two billion, two hundred eighteen million, six hundred twenty-nine thousand, three hundred seventy-six".