1449605469312 has 1536 divisors, whose sum is σ = 6038671564800. Its totient is φ = 336172032000.

The previous prime is 1449605469293. The next prime is 1449605469317. The reversal of 1449605469312 is 2139645069441.

1449605469312 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 6 + 0 + 546 + 93 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1449605469317) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 750700987 + ... + 750702917.

It is an arithmetic number, because the mean of its divisors is an integer number (3931426800).

Almost surely, 2^{1449605469312} is an apocalyptic number.

1449605469312 is a gapful number since it is divisible by the number (12) 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 1449605469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019335782400).

1449605469312 is an abundant number, since it is smaller than the sum of its proper divisors (4589066095488).

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

1449605469312 is a wasteful number, since it uses less digits than its factorization.

1449605469312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1449605469312 in words is "one trillion, four hundred forty-nine billion, six hundred five million, four hundred sixty-nine thousand, three hundred twelve".