6144774416 has 80 divisors (see below), whose sum is σ = 13265633088. Its totient is φ = 2733926400.

The previous prime is 6144774397. The next prime is 6144774431.

It is a happy number.

6144774416 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758431 + ... + 1761921.

Almost surely, 2^6144774416 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 6144774416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632816544).

6144774416 is an abundant number, since it is smaller than the sum of its proper divisors (7120858672).

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

6144774416 is a wasteful number, since it uses less digits than its factorization.

6144774416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3714 counting only the distinct ones).

The product of its digits is 451584, while the sum is 44.

The square root of 6144774416 is about 78388.6115197865. The cubic root of 6144774416 is about 1831.6197366775.

The spelling of 6144774416 in words is "six billion, one hundred forty-four million, seven hundred seventy-four thousand, four hundred sixteen".