1348220222016 has 112 divisors (see below), whose sum is σ = 3584448000000. Its totient is φ = 447230956032.

The previous prime is 1348220221967. The next prime is 1348220222017. The reversal of 1348220222016 is 6102220228431.

It is a super-2 number, since 2×1348220222016² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1348220222017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214034035 + ... + 214040333.

It is an arithmetic number, because the mean of its divisors is an integer number (32004000000).

Almost surely, 2^{1348220222016} is an apocalyptic number.

1348220222016 is a gapful number since it is divisible by the number (16) 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 1348220222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792224000000).

1348220222016 is an abundant number, since it is smaller than the sum of its proper divisors (2236227777984).

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

1348220222016 is a wasteful number, since it uses less digits than its factorization.

1348220222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536 (or 11526 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 1348220222016 in words is "one trillion, three hundred forty-eight billion, two hundred twenty million, two hundred twenty-two thousand, sixteen".