66410546556312 has 256 divisors, whose sum is σ = 211221230515200. Its totient is φ = 18938988794880.

The previous prime is 66410546556311. The next prime is 66410546556401. The reversal of 66410546556312 is 21365564501466.

66410546556312 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 0 + 5 + 4 + 65 + 563 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66410546556311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5803590063 + ... + 5803601505.

It is an arithmetic number, because the mean of its divisors is an integer number (825082931700).

Almost surely, 2^{66410546556312} 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 66410546556312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105610615257600).

66410546556312 is an abundant number, since it is smaller than the sum of its proper divisors (144810683958888).

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

66410546556312 is a wasteful number, since it uses less digits than its factorization.

66410546556312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18303 (or 18293 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 66410546556312 in words is "sixty-six trillion, four hundred ten billion, five hundred forty-six million, five hundred fifty-six thousand, three hundred twelve".