2164135623321 has 24 divisors (see below), whose sum is σ = 3361533195744. Its totient is φ = 1234838256960.

The previous prime is 2164135623269. The next prime is 2164135623323. The reversal of 2164135623321 is 1233265314612.

It is not a de Polignac number, because 2164135623321 - 2³⁹ = 1614379809433 is a prime.

It is a super-2 number, since 2×2164135623321² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2164135623321.

It is not an unprimeable number, because it can be changed into a prime (2164135623323) 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 23 ways as a sum of consecutive naturals, for example, 10677060 + ... + 10877861.

It is an arithmetic number, because the mean of its divisors is an integer number (140063883156).

Almost surely, 2^{2164135623321} is an apocalyptic number.

2164135623321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2164135623321 is a deficient number, since it is larger than the sum of its proper divisors (1197397572423).

2164135623321 is a wasteful number, since it uses less digits than its factorization.

2164135623321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21555621 (or 21555614 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The spelling of 2164135623321 in words is "two trillion, one hundred sixty-four billion, one hundred thirty-five million, six hundred twenty-three thousand, three hundred twenty-one".