1348342382112 has 648 divisors, whose sum is σ = 4192523009136. Its totient is φ = 378925747200.

The previous prime is 1348342382047. The next prime is 1348342382119. The reversal of 1348342382112 is 2112832438431.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1348342382119) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25440422278 + ... + 25440422330.

Almost surely, 2^{1348342382112} is an apocalyptic number.

1348342382112 is a gapful number since it is divisible by the number (12) 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 1348342382112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096261504568).

1348342382112 is an abundant number, since it is smaller than the sum of its proper divisors (2844180627024).

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

1348342382112 is a wasteful number, since it uses less digits than its factorization.

1348342382112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 143 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 1348342382112 in words is "one trillion, three hundred forty-eight billion, three hundred forty-two million, three hundred eighty-two thousand, one hundred twelve".