36221291308566 has 192 divisors, whose sum is σ = 97228944304128. Its totient is φ = 9489716331264.

The previous prime is 36221291308537. The next prime is 36221291308583. The reversal of 36221291308566 is 66580319212263.

It is a happy number.

36221291308566 is a `hidden beast` number, since 3 + 6 + 2 + 21 + 29 + 1 + 30 + 8 + 566 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1231038931 + ... + 1231068353.

It is an arithmetic number, because the mean of its divisors is an integer number (506400751584).

Almost surely, 2^{36221291308566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36221291308566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48614472152064).

36221291308566 is an abundant number, since it is smaller than the sum of its proper divisors (61007652995562).

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

36221291308566 is a wasteful number, since it uses less digits than its factorization.

36221291308566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34395 (or 34392 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 36221291308566 in words is "thirty-six trillion, two hundred twenty-one billion, two hundred ninety-one million, three hundred eight thousand, five hundred sixty-six".