1106171707392 has 360 divisors, whose sum is σ = 3345576234000. Its totient is φ = 365197787136.

The previous prime is 1106171707379. The next prime is 1106171707441. The reversal of 1106171707392 is 2937071716011.

1106171707392 is a `hidden beast` number, since 1 + 10 + 617 + 17 + 0 + 7 + 3 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433961734 + ... + 433964282.

Almost surely, 2^{1106171707392} is an apocalyptic number.

1106171707392 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 1106171707392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672788117000).

1106171707392 is an abundant number, since it is smaller than the sum of its proper divisors (2239404526608).

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

1106171707392 is an frugal number, since it uses more digits than its factorization.

1106171707392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 1106171707392 in words is "one trillion, one hundred six billion, one hundred seventy-one million, seven hundred seven thousand, three hundred ninety-two".