1001116368584 has 64 divisors (see below), whose sum is σ = 2042710099200. Its totient is φ = 458207253504.

The previous prime is 1001116368563. The next prime is 1001116368649. The reversal of 1001116368584 is 4858636111001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24482 + ... + 1415214.

It is an arithmetic number, because the mean of its divisors is an integer number (31917345300).

Almost surely, 2^{1001116368584} is an apocalyptic number.

It is an amenable number.

1001116368584 is an abundant number, since it is smaller than the sum of its proper divisors (1041593730616).

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

1001116368584 is a wasteful number, since it uses less digits than its factorization.

1001116368584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390902 (or 1390898 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 1001116368584 in words is "one trillion, one billion, one hundred sixteen million, three hundred sixty-eight thousand, five hundred eighty-four".