6144160614416 has 60 divisors (see below), whose sum is σ = 13088666615472. Its totient is φ = 2791997208000.

The previous prime is 6144160614409. The next prime is 6144160614451.

6144160614416 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6304031 + ... + 7213121.

Almost surely, 2^{6144160614416} 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 6144160614416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544333307736).

6144160614416 is an abundant number, since it is smaller than the sum of its proper divisors (6944506001056).

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

6144160614416 is a wasteful number, since it uses less digits than its factorization.

6144160614416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912612 (or 912595 counting only the distinct ones).

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

It can be divided in two parts, 6144160 and 614416, that added together give a palindrome (6758576).

The spelling of 6144160614416 in words is "six trillion, one hundred forty-four billion, one hundred sixty million, six hundred fourteen thousand, four hundred sixteen".