616456654616 has 96 divisors (see below), whose sum is σ = 1320281424000. Its totient is φ = 269346739200.

The previous prime is 616456654573. The next prime is 616456654699.

616456654616 is nontrivially palindromic in base 10.

616456654616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4402256 + ... + 4540128.

It is an arithmetic number, because the mean of its divisors is an integer number (13752931500).

Almost surely, 2^616456654616 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 616456654616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660140712000).

616456654616 is an abundant number, since it is smaller than the sum of its proper divisors (703824769384).

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

616456654616 is a wasteful number, since it uses less digits than its factorization.

616456654616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138081 (or 138066 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 56.

The spelling of 616456654616 in words is "six hundred sixteen billion, four hundred fifty-six million, six hundred fifty-four thousand, six hundred sixteen".