1444997007168 has 224 divisors, whose sum is σ = 4545739602432. Its totient is φ = 399324518400.

The previous prime is 1444997007127. The next prime is 1444997007191. The reversal of 1444997007168 is 8617007994441.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1961803 + ... + 2595893.

It is an arithmetic number, because the mean of its divisors is an integer number (20293480368).

Almost surely, 2^{1444997007168} 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 1444997007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272869801216).

1444997007168 is an abundant number, since it is smaller than the sum of its proper divisors (3100742595264).

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

1444997007168 is a wasteful number, since it uses less digits than its factorization.

1444997007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634213 (or 634203 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 1444997007168 in words is "one trillion, four hundred forty-four billion, nine hundred ninety-seven million, seven thousand, one hundred sixty-eight".