6144876784416 has 24 divisors (see below), whose sum is σ = 16130301559344. Its totient is φ = 2048292261440.

The previous prime is 6144876784379. The next prime is 6144876784429.

6144876784416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×6144876784416² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32004566490 + ... + 32004566681.

It is an arithmetic number, because the mean of its divisors is an integer number (672095898306).

Almost surely, 2^{6144876784416} is an apocalyptic number.

It is an amenable number.

6144876784416 is an abundant number, since it is smaller than the sum of its proper divisors (9985424774928).

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

6144876784416 is a wasteful number, since it uses less digits than its factorization.

6144876784416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64009133184 (or 64009133176 counting only the distinct ones).

The product of its digits is 173408256, while the sum is 66.

The spelling of 6144876784416 in words is "six trillion, one hundred forty-four billion, eight hundred seventy-six million, seven hundred eighty-four thousand, four hundred sixteen".