611845835328 has 672 divisors, whose sum is σ = 2261982637824. Its totient is φ = 159666536448.

The previous prime is 611845835291. The next prime is 611845835329. The reversal of 611845835328 is 823538548116.

611845835328 is a `hidden beast` number, since 6 + 1 + 1 + 8 + 4 + 583 + 53 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (611845835329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137275276 + ... + 137279732.

It is an arithmetic number, because the mean of its divisors is an integer number (3366045592).

Almost surely, 2^611845835328 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 611845835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130991318912).

611845835328 is an abundant number, since it is smaller than the sum of its proper divisors (1650136802496).

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

611845835328 is a wasteful number, since it uses less digits than its factorization.

611845835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4579 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 611845835328 in words is "six hundred eleven billion, eight hundred forty-five million, eight hundred thirty-five thousand, three hundred twenty-eight".