6301449216 has 176 divisors, whose sum is σ = 18983059200. Its totient is φ = 2064347136.

The previous prime is 6301449197. The next prime is 6301449239. The reversal of 6301449216 is 6129441036.

6301449216 is a `hidden beast` number, since 630 + 1 + 4 + 4 + 9 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629301 + ... + 1633163.

Almost surely, 2^6301449216 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 6301449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9491529600).

6301449216 is an abundant number, since it is smaller than the sum of its proper divisors (12681609984).

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

6301449216 is a wasteful number, since it uses less digits than its factorization.

6301449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6301449216 is about 79381.6680096860. The cubic root of 6301449216 is about 1847.0563574954.

The spelling of 6301449216 in words is "six billion, three hundred one million, four hundred forty-nine thousand, two hundred sixteen".