664442171316 has 192 divisors, whose sum is σ = 2148948264960. Its totient is φ = 172481425920.

The previous prime is 664442171293. The next prime is 664442171321. The reversal of 664442171316 is 613171244466.

664442171316 is a `hidden beast` number, since 6 + 6 + 4 + 442 + 171 + 31 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14755051 + ... + 14800013.

It is an arithmetic number, because the mean of its divisors is an integer number (11192438880).

Almost surely, 2^664442171316 is an apocalyptic number.

664442171316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664442171316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074474132480).

664442171316 is an abundant number, since it is smaller than the sum of its proper divisors (1484506093644).

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

664442171316 is a wasteful number, since it uses less digits than its factorization.

664442171316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46771 (or 46763 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 664442171316 in words is "six hundred sixty-four billion, four hundred forty-two million, one hundred seventy-one thousand, three hundred sixteen".