616414414616 has 512 divisors, whose sum is σ = 1677167493120. Its totient is φ = 204374016000.

The previous prime is 616414414607. The next prime is 616414414631.

616414414616 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1746216296 + ... + 1746216648.

It is an arithmetic number, because the mean of its divisors is an integer number (3275717760).

Almost surely, 2^616414414616 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 616414414616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838583746560).

616414414616 is an abundant number, since it is smaller than the sum of its proper divisors (1060753078504).

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

616414414616 is a wasteful number, since it uses less digits than its factorization.

616414414616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The spelling of 616414414616 in words is "six hundred sixteen billion, four hundred fourteen million, four hundred fourteen thousand, six hundred sixteen".