1000112816664 has 256 divisors, whose sum is σ = 3038810342400. Its totient is φ = 302917708800.

The previous prime is 1000112816627. The next prime is 1000112816693. The reversal of 1000112816664 is 4666182110001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65483349 + ... + 65498619.

It is an arithmetic number, because the mean of its divisors is an integer number (11870352900).

Almost surely, 2^{1000112816664} 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 1000112816664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519405171200).

1000112816664 is an abundant number, since it is smaller than the sum of its proper divisors (2038697525736).

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

1000112816664 is a wasteful number, since it uses less digits than its factorization.

1000112816664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15663 (or 15653 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 1000112816664 its reverse (4666182110001), we get a palindrome (5666294926665).

The spelling of 1000112816664 in words is "one trillion, one hundred twelve million, eight hundred sixteen thousand, six hundred sixty-four".