611091686304 has 144 divisors (see below), whose sum is σ = 1896546978144. Its totient is φ = 185103705600.

The previous prime is 611091686299. The next prime is 611091686341. The reversal of 611091686304 is 403686190116.

611091686304 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 9 + 1 + 6 + 8 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 611091686304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7980102 + ... + 8056314.

It is an arithmetic number, because the mean of its divisors is an integer number (13170465126).

Almost surely, 2^611091686304 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 611091686304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948273489072).

611091686304 is an abundant number, since it is smaller than the sum of its proper divisors (1285455291840).

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

611091686304 is a wasteful number, since it uses less digits than its factorization.

611091686304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78771 (or 78760 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 611091686304 in words is "six hundred eleven billion, ninety-one million, six hundred eighty-six thousand, three hundred four".