611406460434688 has 72 divisors (see below), whose sum is σ = 1225511895081600. Its totient is φ = 304429996615680.

The previous prime is 611406460434667. The next prime is 611406460434703. The reversal of 611406460434688 is 886434064604116.

It is a super-2 number, since 2×611406460434688² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 143520906 + ... + 147719542.

It is an arithmetic number, because the mean of its divisors is an integer number (17020998542800).

Almost surely, 2^{611406460434688} 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 611406460434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612755947540800).

611406460434688 is an abundant number, since it is smaller than the sum of its proper divisors (614105434646912).

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

611406460434688 is a wasteful number, since it uses less digits than its factorization.

611406460434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201023 (or 4201009 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 61.

The spelling of 611406460434688 in words is "six hundred eleven trillion, four hundred six billion, four hundred sixty million, four hundred thirty-four thousand, six hundred eighty-eight".