1106683726896 has 240 divisors, whose sum is σ = 3520779968160. Its totient is φ = 321429319680.

The previous prime is 1106683726807. The next prime is 1106683726949. The reversal of 1106683726896 is 6986273866011.

1106683726896 is a `hidden beast` number, since 110 + 6 + 6 + 8 + 372 + 68 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6205306 + ... + 6381158.

It is an arithmetic number, because the mean of its divisors is an integer number (14669916534).

Almost surely, 2^{1106683726896} is an apocalyptic number.

1106683726896 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 1106683726896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760389984080).

1106683726896 is an abundant number, since it is smaller than the sum of its proper divisors (2414096241264).

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

1106683726896 is a wasteful number, since it uses less digits than its factorization.

1106683726896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176044 (or 176035 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1106683726896 in words is "one trillion, one hundred six billion, six hundred eighty-three million, seven hundred twenty-six thousand, eight hundred ninety-six".