616323642912 has 288 divisors, whose sum is σ = 1879781904000. Its totient is φ = 190870953984.

The previous prime is 616323642881. The next prime is 616323642941. The reversal of 616323642912 is 219246323616.

616323642912 is a `hidden beast` number, since 6 + 1 + 632 + 3 + 6 + 4 + 2 + 9 + 1 + 2 = 666.

616323642912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121824639 + ... + 121829697.

It is an arithmetic number, because the mean of its divisors is an integer number (6527020500).

Almost surely, 2^616323642912 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 616323642912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939890952000).

616323642912 is an abundant number, since it is smaller than the sum of its proper divisors (1263458261088).

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

616323642912 is a wasteful number, since it uses less digits than its factorization.

616323642912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5397 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 616323642912 in words is "six hundred sixteen billion, three hundred twenty-three million, six hundred forty-two thousand, nine hundred twelve".