1106791858848 has 192 divisors, whose sum is σ = 3239031680640. Its totient is φ = 328571916288.

The previous prime is 1106791858831. The next prime is 1106791858889. The reversal of 1106791858848 is 8488581976011.

It is a super-2 number, since 2×1106791858848² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54024415 + ... + 54044897.

It is an arithmetic number, because the mean of its divisors is an integer number (16869956670).

Almost surely, 2^{1106791858848} 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 1106791858848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619515840320).

1106791858848 is an abundant number, since it is smaller than the sum of its proper divisors (2132239821792).

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

1106791858848 is a wasteful number, since it uses less digits than its factorization.

1106791858848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22031 (or 22023 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 66.

The spelling of 1106791858848 in words is "one trillion, one hundred six billion, seven hundred ninety-one million, eight hundred fifty-eight thousand, eight hundred forty-eight".