66147182014464 has 624 divisors, whose sum is σ = 196782250245984. Its totient is φ = 21401056051200.

The previous prime is 66147182014457. The next prime is 66147182014481. The reversal of 66147182014464 is 46441028174166.

66147182014464 is a `hidden beast` number, since 6 + 6 + 1 + 471 + 8 + 20 + 144 + 6 + 4 = 666.

It is a super-2 number, since 2×66147182014464² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66147182014464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101297368762 + ... + 101297369414.

It is an arithmetic number, because the mean of its divisors is an integer number (315356170266).

Almost surely, 2^{66147182014464} is an apocalyptic number.

66147182014464 is a gapful number since it is divisible by the number (64) 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 66147182014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98391125122992).

66147182014464 is an abundant number, since it is smaller than the sum of its proper divisors (130635068231520).

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

66147182014464 is a wasteful number, since it uses less digits than its factorization.

66147182014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 66147182014464 in words is "sixty-six trillion, one hundred forty-seven billion, one hundred eighty-two million, fourteen thousand, four hundred sixty-four".