616054505450616 has 256 divisors, whose sum is σ = 1751260986000000. Its totient is φ = 200611973431296.

The previous prime is 616054505450599. The next prime is 616054505450623.

616054505450616 is a `hidden beast` number, since 6 + 16 + 0 + 5 + 4 + 5 + 0 + 5 + 4 + 5 + 0 + 616 = 666.

616054505450616 is nontrivially palindromic in base 10.

616054505450616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 969619410 + ... + 970254558.

Almost surely, 2^{616054505450616} 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 616054505450616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875630493000000).

616054505450616 is an abundant number, since it is smaller than the sum of its proper divisors (1135206480549384).

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

616054505450616 is a wasteful number, since it uses less digits than its factorization.

616054505450616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635823 (or 635813 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 616054505450616 in words is "six hundred sixteen trillion, fifty-four billion, five hundred five million, four hundred fifty thousand, six hundred sixteen".