1106496381312 has 640 divisors, whose sum is σ = 4053744710400. Its totient is φ = 292521922560.

The previous prime is 1106496381247. The next prime is 1106496381313. The reversal of 1106496381312 is 2131836946011.

1106496381312 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 4 + 9 + 638 + 1 + 3 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106496381313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59285262 + ... + 59303922.

It is an arithmetic number, because the mean of its divisors is an integer number (6333976110).

Almost surely, 2^{1106496381312} is an apocalyptic number.

1106496381312 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 1106496381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026872355200).

1106496381312 is an abundant number, since it is smaller than the sum of its proper divisors (2947248329088).

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

1106496381312 is a wasteful number, since it uses less digits than its factorization.

1106496381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18756 (or 18735 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1106496381312 in words is "one trillion, one hundred six billion, four hundred ninety-six million, three hundred eighty-one thousand, three hundred twelve".