66820182016 has 117 divisors (see below), whose sum is σ = 155710082709. Its totient is φ = 28587589632.

The previous prime is 66820181957. The next prime is 66820182019. The reversal of 66820182016 is 61028102866.

The square root of 66820182016 is 258496.

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

It can be written as a sum of positive squares in only one way, i.e., 66357760000 + 462422016 = 257600^2 + 21504^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66820182016.

It is not an unprimeable number, because it can be changed into a prime (66820182019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115805920 + ... + 115806496.

Almost surely, 2^66820182016 is an apocalyptic number.

66820182016 is the 258496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66820182016

66820182016 is an abundant number, since it is smaller than the sum of its proper divisors (88889900693).

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

66820182016 is an frugal number, since it uses more digits than its factorization.

66820182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 66820182016 in words is "sixty-six billion, eight hundred twenty million, one hundred eighty-two thousand, sixteen".