3221516896416 has 1440 divisors, whose sum is σ = 12627654399360. Its totient is φ = 796299227136.

The previous prime is 3221516896369. The next prime is 3221516896441. The reversal of 3221516896416 is 6146986151223.

3221516896416 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 516 + 89 + 6 + 41 + 6 = 666.

It is a super-2 number, since 2×3221516896416² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 3231210030 + ... + 3231211026.

It is an arithmetic number, because the mean of its divisors is an integer number (8769204444).

Almost surely, 2^{3221516896416} is an apocalyptic number.

3221516896416 is a gapful number since it is divisible by the number (36) 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 3221516896416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313827199680).

3221516896416 is an abundant number, since it is smaller than the sum of its proper divisors (9406137502944).

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

3221516896416 is a wasteful number, since it uses less digits than its factorization.

3221516896416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1144 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 3221516896416 in words is "three trillion, two hundred twenty-one billion, five hundred sixteen million, eight hundred ninety-six thousand, four hundred sixteen".