614479444974416 has 160 divisors (see below), whose sum is σ = 1391369163816960. Its totient is φ = 257449761907200.

The previous prime is 614479444974407. The next prime is 614479444974487.

It is a happy number.

614479444974416 is nontrivially palindromic in base 10.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4173783686 + ... + 4173930906.

It is an arithmetic number, because the mean of its divisors is an integer number (8696057273856).

Almost surely, 2^{614479444974416} 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 614479444974416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695684581908480).

614479444974416 is an abundant number, since it is smaller than the sum of its proper divisors (776889718842544).

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

614479444974416 is a wasteful number, since it uses less digits than its factorization.

614479444974416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150793 (or 150787 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 74.

The spelling of 614479444974416 in words is "six hundred fourteen trillion, four hundred seventy-nine billion, four hundred forty-four million, nine hundred seventy-four thousand, four hundred sixteen".