66473156646144 has 288 divisors, whose sum is σ = 197332826503680. Its totient is φ = 22072211251200.

The previous prime is 66473156646133. The next prime is 66473156646163. The reversal of 66473156646144 is 44164665137466.

It is a happy number.

66473156646144 is a `hidden beast` number, since 6 + 6 + 4 + 7 + 3 + 1 + 5 + 6 + 6 + 4 + 614 + 4 = 666.

66473156646144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1969149714 + ... + 1969183470.

It is an arithmetic number, because the mean of its divisors is an integer number (685183425360).

Almost surely, 2^{66473156646144} is an apocalyptic number.

66473156646144 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 66473156646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98666413251840).

66473156646144 is an abundant number, since it is smaller than the sum of its proper divisors (130859669857536).

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

66473156646144 is a wasteful number, since it uses less digits than its factorization.

66473156646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34874 (or 34854 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 66473156646144 in words is "sixty-six trillion, four hundred seventy-three billion, one hundred fifty-six million, six hundred forty-six thousand, one hundred forty-four".