66450482369856 has 336 divisors, whose sum is σ = 207545251914000. Its totient is φ = 20205920157696.

The previous prime is 66450482369849. The next prime is 66450482369867. The reversal of 66450482369856 is 65896328405466.

66450482369856 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 0 + 482 + 3 + 6 + 98 + 56 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3131540787456 + 63318941582400 = 1769616^2 + 7957320^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219644100 + ... + 219946428.

It is an arithmetic number, because the mean of its divisors is an integer number (617694202125).

Almost surely, 2^{66450482369856} 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 66450482369856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103772625957000).

66450482369856 is an abundant number, since it is smaller than the sum of its proper divisors (141094769544144).

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

66450482369856 is a wasteful number, since it uses less digits than its factorization.

66450482369856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302706 (or 302693 counting only the distinct ones).

The product of its (nonzero) digits is 1791590400, while the sum is 72.

The spelling of 66450482369856 in words is "sixty-six trillion, four hundred fifty billion, four hundred eighty-two million, three hundred sixty-nine thousand, eight hundred fifty-six".