616134371328 has 288 divisors, whose sum is σ = 2035587153600. Its totient is φ = 175877259264.

The previous prime is 616134371327. The next prime is 616134371387. The reversal of 616134371328 is 823173431616.

616134371328 is a `hidden beast` number, since 6 + 1 + 613 + 4 + 3 + 7 + 1 + 3 + 28 = 666.

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 not an unprimeable number, because it can be changed into a prime (616134371327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274690975 + ... + 274693217.

It is an arithmetic number, because the mean of its divisors is an integer number (7068010950).

Almost surely, 2^616134371328 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 616134371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017793576800).

616134371328 is an abundant number, since it is smaller than the sum of its proper divisors (1419452782272).

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

616134371328 is a wasteful number, since it uses less digits than its factorization.

616134371328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4384 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 616134371328 in words is "six hundred sixteen billion, one hundred thirty-four million, three hundred seventy-one thousand, three hundred twenty-eight".