616500349344 has 960 divisors, whose sum is σ = 2205083865600. Its totient is φ = 166750617600.

The previous prime is 616500349343. The next prime is 616500349357. The reversal of 616500349344 is 443943005616.

616500349344 is a `hidden beast` number, since 6 + 16 + 500 + 3 + 4 + 93 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 616500349344.

It is not an unprimeable number, because it can be changed into a prime (616500349343) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 857441017 + ... + 857441735.

It is an arithmetic number, because the mean of its divisors is an integer number (2296962360).

Almost surely, 2^616500349344 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 616500349344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102541932800).

616500349344 is an abundant number, since it is smaller than the sum of its proper divisors (1588583516256).

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

616500349344 is a wasteful number, since it uses less digits than its factorization.

616500349344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 616500349344 in words is "six hundred sixteen billion, five hundred million, three hundred forty-nine thousand, three hundred forty-four".