66313852416 has 560 divisors, whose sum is σ = 240551951904. Its totient is φ = 17820352512.

The previous prime is 66313852393. The next prime is 66313852453. The reversal of 66313852416 is 61425831366.

66313852416 is a `hidden beast` number, since 6 + 631 + 3 + 8 + 5 + 2 + 4 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 44415766 + ... + 44417258.

Almost surely, 2^66313852416 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 66313852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120275975952).

66313852416 is an abundant number, since it is smaller than the sum of its proper divisors (174238099488).

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

66313852416 is an equidigital number, since it uses as much as digits as its factorization.

66313852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1522 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 66313852416 in words is "sixty-six billion, three hundred thirteen million, eight hundred fifty-two thousand, four hundred sixteen".