6449350251456 has 448 divisors, whose sum is σ = 22631687731200. Its totient is φ = 1760908419072.

The previous prime is 6449350251403. The next prime is 6449350251481. The reversal of 6449350251456 is 6541520539446.

6449350251456 is a `hidden beast` number, since 6 + 4 + 4 + 93 + 50 + 2 + 51 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314086566 + ... + 314107098.

Almost surely, 2^{6449350251456} 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 6449350251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11315843865600).

6449350251456 is an abundant number, since it is smaller than the sum of its proper divisors (16182337479744).

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

6449350251456 is a wasteful number, since it uses less digits than its factorization.

6449350251456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21713 (or 21697 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 6449350251456 in words is "six trillion, four hundred forty-nine billion, three hundred fifty million, two hundred fifty-one thousand, four hundred fifty-six".