614446644416 has 56 divisors (see below), whose sum is σ = 1331235756624. Its totient is φ = 279063290880.

The previous prime is 614446644401. The next prime is 614446644457.

614446644416 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494186 + ... + 1213718.

Almost surely, 2^614446644416 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 614446644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665617878312).

614446644416 is an abundant number, since it is smaller than the sum of its proper divisors (716789112208).

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

614446644416 is a wasteful number, since it uses less digits than its factorization.

614446644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720769 (or 720759 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 50.

The spelling of 614446644416 in words is "six hundred fourteen billion, four hundred forty-six million, six hundred forty-four thousand, four hundred sixteen".