616508613882 has 256 divisors, whose sum is σ = 1605974952960. Its totient is φ = 171694080000.

The previous prime is 616508613859. The next prime is 616508613887. The reversal of 616508613882 is 288316805616.

616508613882 is a `hidden beast` number, since 6 + 16 + 5 + 0 + 8 + 613 + 8 + 8 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (616508613887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1025804382 + ... + 1025804982.

It is an arithmetic number, because the mean of its divisors is an integer number (6273339660).

Almost surely, 2^616508613882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616508613882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802987476480).

616508613882 is an abundant number, since it is smaller than the sum of its proper divisors (989466339078).

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

616508613882 is a wasteful number, since it uses less digits than its factorization.

616508613882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 616508613882 in words is "six hundred sixteen billion, five hundred eight million, six hundred thirteen thousand, eight hundred eighty-two".