11167001214616 has 48 divisors (see below), whose sum is σ = 22693393200960. Its totient is φ = 5149284416640.

The previous prime is 11167001214583. The next prime is 11167001214619. The reversal of 11167001214616 is 61641210076111.

It is a super-3 number, since 3×11167001214616³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11167001214619) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2300680 + ... + 5256151.

It is an arithmetic number, because the mean of its divisors is an integer number (472779025020).

Almost surely, 2^{11167001214616} is an apocalyptic number.

It is an amenable number.

11167001214616 is an abundant number, since it is smaller than the sum of its proper divisors (11526391986344).

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

11167001214616 is a wasteful number, since it uses less digits than its factorization.

11167001214616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557956 (or 7557939 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 11167001214616 in words is "eleven trillion, one hundred sixty-seven billion, one million, two hundred fourteen thousand, six hundred sixteen".