1449025068416 has 64 divisors (see below), whose sum is σ = 2942153280000. Its totient is φ = 710730510336.

The previous prime is 1449025068389. The next prime is 1449025068479. The reversal of 1449025068416 is 6148605209441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 946010 + ... + 1947558.

It is an arithmetic number, because the mean of its divisors is an integer number (45971145000).

Almost surely, 2^{1449025068416} is an apocalyptic number.

1449025068416 is a gapful number since it is divisible by the number (16) 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 1449025068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471076640000).

1449025068416 is an abundant number, since it is smaller than the sum of its proper divisors (1493128211584).

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

1449025068416 is a wasteful number, since it uses less digits than its factorization.

1449025068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001779 (or 1001767 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 1449025068416 in words is "one trillion, four hundred forty-nine billion, twenty-five million, sixty-eight thousand, four hundred sixteen".