66213169514496 has 672 divisors, whose sum is σ = 213815722498560. Its totient is φ = 20430102528000.

The previous prime is 66213169514467. The next prime is 66213169514509. The reversal of 66213169514496 is 69441596131266.

It is a happy number.

66213169514496 is a `hidden beast` number, since 6 + 6 + 2 + 1 + 31 + 69 + 51 + 4 + 496 = 666.

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, 1064472196 + ... + 1064534396.

It is an arithmetic number, because the mean of its divisors is an integer number (318178158480).

Almost surely, 2^{66213169514496} 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 66213169514496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106907861249280).

66213169514496 is an abundant number, since it is smaller than the sum of its proper divisors (147602552984064).

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

66213169514496 is an equidigital number, since it uses as much as digits as its factorization.

66213169514496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62295 (or 62260 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 66213169514496 in words is "sixty-six trillion, two hundred thirteen billion, one hundred sixty-nine million, five hundred fourteen thousand, four hundred ninety-six".