1849312346112 has 1088 divisors, whose sum is σ = 6996045696000. Its totient is φ = 478606786560.

The previous prime is 1849312346107. The next prime is 1849312346113. The reversal of 1849312346112 is 2116432139481.

1849312346112 is a `hidden beast` number, since 1 + 8 + 4 + 9 + 3 + 1 + 23 + 4 + 611 + 2 = 666.

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 (1849312346113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6676217718 + ... + 6676217994.

Almost surely, 2^{1849312346112} is an apocalyptic number.

1849312346112 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 1849312346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498022848000).

1849312346112 is an abundant number, since it is smaller than the sum of its proper divisors (5146733349888).

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

1849312346112 is an frugal number, since it uses more digits than its factorization.

1849312346112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 300 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 1849312346112 in words is "one trillion, eight hundred forty-nine billion, three hundred twelve million, three hundred forty-six thousand, one hundred twelve".