6149449416 has 192 divisors, whose sum is σ = 17674997760. Its totient is φ = 1779465600.

The previous prime is 6149449399. The next prime is 6149449433.

6149449416 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6149449399) and next prime (6149449433).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7471581 + ... + 7472403.

It is an arithmetic number, because the mean of its divisors is an integer number (92057280).

Almost surely, 2^6149449416 is an apocalyptic number.

6149449416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6149449416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837498880).

6149449416 is an abundant number, since it is smaller than the sum of its proper divisors (11525548344).

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

6149449416 is a wasteful number, since it uses less digits than its factorization.

6149449416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 6149449416 is about 78418.4252328495. The cubic root of 6149449416 is about 1832.0841232196.

The spelling of 6149449416 in words is "six billion, one hundred forty-nine million, four hundred forty-nine thousand, four hundred sixteen".