2018145074016 has 96 divisors (see below), whose sum is σ = 5326459084800. Its totient is φ = 669055749120.

The previous prime is 2018145073939. The next prime is 2018145074017. The reversal of 2018145074016 is 6104705418102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2018145074016² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018145074017) by changing a digit.

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, 130709625 + ... + 130725063.

It is an arithmetic number, because the mean of its divisors is an integer number (55483948800).

Almost surely, 2^{2018145074016} 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 2018145074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663229542400).

2018145074016 is an abundant number, since it is smaller than the sum of its proper divisors (3308314010784).

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

2018145074016 is a wasteful number, since it uses less digits than its factorization.

2018145074016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22772 (or 22764 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 2018145074016 in words is "two trillion, eighteen billion, one hundred forty-five million, seventy-four thousand, sixteen".