1106508666328 has 64 divisors (see below), whose sum is σ = 2259854069760. Its totient is φ = 504882999936.

The previous prime is 1106508666317. The next prime is 1106508666449. The reversal of 1106508666328 is 8236668056011.

It is a super-2 number, since 2×1106508666328² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3589851 + ... + 3885877.

It is an arithmetic number, because the mean of its divisors is an integer number (35310219840).

Almost surely, 2^{1106508666328} 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 1106508666328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129927034880).

1106508666328 is an abundant number, since it is smaller than the sum of its proper divisors (1153345403432).

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

1106508666328 is a wasteful number, since it uses less digits than its factorization.

1106508666328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296456 (or 296452 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 1106508666328 in words is "one trillion, one hundred six billion, five hundred eight million, six hundred sixty-six thousand, three hundred twenty-eight".