1207327016448 has 1280 divisors, whose sum is σ = 4455594823680. Its totient is φ = 319261409280.

The previous prime is 1207327016447. The next prime is 1207327016501. The reversal of 1207327016448 is 8446107237021.

1207327016448 is a `hidden beast` number, since 120 + 7 + 3 + 2 + 70 + 16 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1207327016447) 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 127 ways as a sum of consecutive naturals, for example, 6670314918 + ... + 6670315098.

It is an arithmetic number, because the mean of its divisors is an integer number (3480933456).

Almost surely, 2^{1207327016448} is an apocalyptic number.

1207327016448 is a gapful number since it is divisible by the number (18) 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 1207327016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227797411840).

1207327016448 is an abundant number, since it is smaller than the sum of its proper divisors (3248267807232).

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

1207327016448 is an frugal number, since it uses more digits than its factorization.

1207327016448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1207327016448 in words is "one trillion, two hundred seven billion, three hundred twenty-seven million, sixteen thousand, four hundred forty-eight".