1106645040704 has 112 divisors (see below), whose sum is σ = 2539453245696. Its totient is φ = 468688896000.

The previous prime is 1106645040703. The next prime is 1106645040757. The reversal of 1106645040704 is 4070405466011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1106645040704² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1106645040703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13013684 + ... + 13098444.

Almost surely, 2^{1106645040704} is an apocalyptic number.

1106645040704 is a gapful number since it is divisible by the number (14) 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 1106645040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269726622848).

1106645040704 is an abundant number, since it is smaller than the sum of its proper divisors (1432808204992).

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

1106645040704 is a wasteful number, since it uses less digits than its factorization.

1106645040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85124 (or 85114 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 1106645040704 in words is "one trillion, one hundred six billion, six hundred forty-five million, forty thousand, seven hundred four".