3318565448448 has 432 divisors, whose sum is σ = 10548658848000. Its totient is φ = 1037554790400.

The previous prime is 3318565448389. The next prime is 3318565448461. The reversal of 3318565448448 is 8448445658133.

3318565448448 is a `hidden beast` number, since 3 + 3 + 1 + 8 + 5 + 6 + 544 + 84 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3318565448448² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119363253 + ... + 119391051.

Almost surely, 2^{3318565448448} is an apocalyptic number.

3318565448448 is a gapful number since it is divisible by the number (38) 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 3318565448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274329424000).

3318565448448 is an abundant number, since it is smaller than the sum of its proper divisors (7230093399552).

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

3318565448448 is a wasteful number, since it uses less digits than its factorization.

3318565448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27950 (or 27924 counting only the distinct ones).

The product of its digits is 176947200, while the sum is 63.

The spelling of 3318565448448 in words is "three trillion, three hundred eighteen billion, five hundred sixty-five million, four hundred forty-eight thousand, four hundred forty-eight".