1106173708416 has 320 divisors, whose sum is σ = 3960251592000. Its totient is φ = 299415066624.

The previous prime is 1106173708411. The next prime is 1106173708417. The reversal of 1106173708416 is 6148073716011.

It is a happy number.

1106173708416 is a `hidden beast` number, since 1 + 10 + 617 + 3 + 7 + 0 + 8 + 4 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (1106173708411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 977850 + ... + 1780038.

It is an arithmetic number, because the mean of its divisors is an integer number (12375786225).

Almost surely, 2^{1106173708416} is an apocalyptic number.

1106173708416 is a gapful number since it is divisible by the number (16) 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 1106173708416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980125796000).

1106173708416 is an abundant number, since it is smaller than the sum of its proper divisors (2854077883584).

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

1106173708416 is an equidigital number, since it uses as much as digits as its factorization.

1106173708416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802241 (or 802220 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1106173708416 in words is "one trillion, one hundred six billion, one hundred seventy-three million, seven hundred eight thousand, four hundred sixteen".