1009072118016 has 144 divisors (see below), whose sum is σ = 2985524449600. Its totient is φ = 336185966592.

The previous prime is 1009072117997. The next prime is 1009072118053. The reversal of 1009072118016 is 6108112709001.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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, 13905315 + ... + 13977693.

Almost surely, 2^{1009072118016} is an apocalyptic number.

1009072118016 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 1009072118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492762224800).

1009072118016 is an abundant number, since it is smaller than the sum of its proper divisors (1976452331584).

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

1009072118016 is an equidigital number, since it uses as much as digits as its factorization.

1009072118016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74421 (or 74401 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 1009072118016 in words is "one trillion, nine billion, seventy-two million, one hundred eighteen thousand, sixteen".