619459242954916 has 96 divisors (see below), whose sum is σ = 1412863963080192. Its totient is φ = 230619249100800.

The previous prime is 619459242954907. The next prime is 619459242954977.

619459242954916 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 48814366 + ... + 60181066.

It is an arithmetic number, because the mean of its divisors is an integer number (14717332948752).

Almost surely, 2^{619459242954916} 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 619459242954916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706431981540096).

619459242954916 is an abundant number, since it is smaller than the sum of its proper divisors (793404720125276).

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

619459242954916 is a wasteful number, since it uses less digits than its factorization.

619459242954916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375549 (or 11375547 counting only the distinct ones).

The product of its digits is 1511654400, while the sum is 76.

The spelling of 619459242954916 in words is "six hundred nineteen trillion, four hundred fifty-nine billion, two hundred forty-two million, nine hundred fifty-four thousand, nine hundred sixteen".