2164111633516 has 72 divisors (see below), whose sum is σ = 4423204539936. Its totient is φ = 907231603200.

The previous prime is 2164111633513. The next prime is 2164111633517. The reversal of 2164111633516 is 6153361114612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2164111633513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134824235 + ... + 1134826141.

It is an arithmetic number, because the mean of its divisors is an integer number (61433396388).

Almost surely, 2^{2164111633516} 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 2164111633516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211602269968).

2164111633516 is an abundant number, since it is smaller than the sum of its proper divisors (2259092906420).

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

2164111633516 is an equidigital number, since it uses as much as digits as its factorization.

2164111633516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 2370 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The spelling of 2164111633516 in words is "two trillion, one hundred sixty-four billion, one hundred eleven million, six hundred thirty-three thousand, five hundred sixteen".