1106511515664 has 40 divisors (see below), whose sum is σ = 2870970591360. Its totient is φ = 367226525568.

The previous prime is 1106511515617. The next prime is 1106511515687. The reversal of 1106511515664 is 4665151156011.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 50321592 + ... + 50343575.

It is an arithmetic number, because the mean of its divisors is an integer number (71774264784).

Almost surely, 2^{1106511515664} is an apocalyptic number.

It is an amenable number.

1106511515664 is an abundant number, since it is smaller than the sum of its proper divisors (1764459075696).

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

1106511515664 is a wasteful number, since it uses less digits than its factorization.

1106511515664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100665407 (or 100665401 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 42.

The spelling of 1106511515664 in words is "one trillion, one hundred six billion, five hundred eleven million, five hundred fifteen thousand, six hundred sixty-four".