611466441030072 has 256 divisors, whose sum is σ = 1722273936768000. Its totient is φ = 200990464819200.

The previous prime is 611466441030061. The next prime is 611466441030077. The reversal of 611466441030072 is 270030144664116.

611466441030072 is a `hidden beast` number, since 6 + 1 + 146 + 64 + 410 + 30 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611466441030077) 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, 15857101672 + ... + 15857140232.

It is an arithmetic number, because the mean of its divisors is an integer number (6727632565500).

Almost surely, 2^{611466441030072} 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 611466441030072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861136968384000).

611466441030072 is an abundant number, since it is smaller than the sum of its proper divisors (1110807495737928).

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

611466441030072 is a wasteful number, since it uses less digits than its factorization.

611466441030072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41979 (or 41969 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 611466441030072 its reverse (270030144664116), we get a palindrome (881496585694188).

The spelling of 611466441030072 in words is "six hundred eleven trillion, four hundred sixty-six billion, four hundred forty-one million, thirty thousand, seventy-two".