2164436116353 has 24 divisors (see below), whose sum is σ = 3599117977728. Its totient is φ = 1227792745152.

The previous prime is 2164436116351. The next prime is 2164436116387. The reversal of 2164436116353 is 3536116344612.

2164436116353 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 4 + 3 + 6 + 1 + 1 + 635 + 3 = 666.

It is not a de Polignac number, because 2164436116353 - 2¹ = 2164436116351 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2164436116299 and 2164436116308.

It is not an unprimeable number, because it can be changed into a prime (2164436116351) 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, 125378701 + ... + 125395962.

It is an arithmetic number, because the mean of its divisors is an integer number (149963249072).

Almost surely, 2^{2164436116353} is an apocalyptic number.

It is an amenable number.

2164436116353 is a deficient number, since it is larger than the sum of its proper divisors (1434681861375).

2164436116353 is a wasteful number, since it uses less digits than its factorization.

2164436116353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250774813 (or 250774810 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 2164436116353 in words is "two trillion, one hundred sixty-four billion, four hundred thirty-six million, one hundred sixteen thousand, three hundred fifty-three".