1449273312864 has 576 divisors, whose sum is σ = 4766116432896. Its totient is φ = 414296543232.

The previous prime is 1449273312863. The next prime is 1449273312871. The reversal of 1449273312864 is 4682133729441.

1449273312864 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 27 + 331 + 286 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1449273312864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1449273312863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470083867 + ... + 470086949.

It is an arithmetic number, because the mean of its divisors is an integer number (8274507696).

Almost surely, 2^{1449273312864} 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 1449273312864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383058216448).

1449273312864 is an abundant number, since it is smaller than the sum of its proper divisors (3316843120032).

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

1449273312864 is a wasteful number, since it uses less digits than its factorization.

1449273312864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3280 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 1449273312864 in words is "one trillion, four hundred forty-nine billion, two hundred seventy-three million, three hundred twelve thousand, eight hundred sixty-four".