1106727894348 has 96 divisors (see below), whose sum is σ = 2742459955200. Its totient is φ = 346169604096.

The previous prime is 1106727894281. The next prime is 1106727894353. The reversal of 1106727894348 is 8434987276011.

It is a junction number, because it is equal to n+sod(n) for n = 1106727894291 and 1106727894300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296946861 + ... + 296950587.

It is an arithmetic number, because the mean of its divisors is an integer number (28567291200).

Almost surely, 2^{1106727894348} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106727894348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371229977600).

1106727894348 is an abundant number, since it is smaller than the sum of its proper divisors (1635732060852).

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

1106727894348 is a wasteful number, since it uses less digits than its factorization.

1106727894348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7719 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 1106727894348 in words is "one trillion, one hundred six billion, seven hundred twenty-seven million, eight hundred ninety-four thousand, three hundred forty-eight".