66333163093344 has 2304 divisors, whose sum is σ = 251637055488000. Its totient is φ = 16761223987200.

The previous prime is 66333163093331. The next prime is 66333163093391. The reversal of 66333163093344 is 44339036133366.

66333163093344 is a `hidden beast` number, since 66 + 333 + 163 + 0 + 93 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 236061078484 + ... + 236061078764.

It is an arithmetic number, because the mean of its divisors is an integer number (109217472000).

Almost surely, 2^{66333163093344} 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 66333163093344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125818527744000).

66333163093344 is an abundant number, since it is smaller than the sum of its proper divisors (185303892394656).

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

66333163093344 is a wasteful number, since it uses less digits than its factorization.

66333163093344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 54.

The spelling of 66333163093344 in words is "sixty-six trillion, three hundred thirty-three billion, one hundred sixty-three million, ninety-three thousand, three hundred forty-four".