1317416448 has 160 divisors (see below), whose sum is σ = 3712262400. Its totient is φ = 414334976.

The previous prime is 1317416447. The next prime is 1317416459. The reversal of 1317416448 is 8446147131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317416447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3143983 + ... + 3144401.

It is an arithmetic number, because the mean of its divisors is an integer number (23201640).

Almost surely, 2^1317416448 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 1317416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856131200).

1317416448 is an abundant number, since it is smaller than the sum of its proper divisors (2394845952).

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

1317416448 is an equidigital number, since it uses as much as digits as its factorization.

1317416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 1317416448 is about 36296.2318705400. The cubic root of 1317416448 is about 1096.2451722104.

The spelling of 1317416448 in words is "one billion, three hundred seventeen million, four hundred sixteen thousand, four hundred forty-eight".