611109985070304 has 768 divisors, whose sum is σ = 1830990680064000. Its totient is φ = 198259446528000.

The previous prime is 611109985070261. The next prime is 611109985070323. The reversal of 611109985070304 is 403070589901116.

611109985070304 is a `hidden beast` number, since 6 + 1 + 1 + 10 + 9 + 98 + 507 + 0 + 30 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 813728341929 + ... + 813728342679.

It is an arithmetic number, because the mean of its divisors is an integer number (2384102448000).

Almost surely, 2^{611109985070304} 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 611109985070304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915495340032000).

611109985070304 is an abundant number, since it is smaller than the sum of its proper divisors (1219880694993696).

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

611109985070304 is a wasteful number, since it uses less digits than its factorization.

611109985070304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 611109985070304 in words is "six hundred eleven trillion, one hundred nine billion, nine hundred eighty-five million, seventy thousand, three hundred four".