66344354314392 has 512 divisors, whose sum is σ = 218340405411840. Its totient is φ = 16287997440000.

The previous prime is 66344354314379. The next prime is 66344354314421. The reversal of 66344354314392 is 29341345344366.

66344354314392 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2236588153 + ... + 2236617815.

It is an arithmetic number, because the mean of its divisors is an integer number (426446104320).

Almost surely, 2^{66344354314392} 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 66344354314392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109170202705920).

66344354314392 is an abundant number, since it is smaller than the sum of its proper divisors (151996051097448).

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

66344354314392 is a wasteful number, since it uses less digits than its factorization.

66344354314392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30335 (or 30331 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 57.

The spelling of 66344354314392 in words is "sixty-six trillion, three hundred forty-four billion, three hundred fifty-four million, three hundred fourteen thousand, three hundred ninety-two".