1164511504345 has 12 divisors (see below), whose sum is σ = 1625562998244. Its totient is φ = 798522174240.

The previous prime is 1164511504319. The next prime is 1164511504459. The reversal of 1164511504345 is 5434051154611.

It can be written as a sum of positive squares in 2 ways, for example, as 572764403344 + 591747101001 = 756812^2 + 769251^2 .

It is not a de Polignac number, because 1164511504345 - 2¹⁵ = 1164511471577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1164511504298 and 1164511504307.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2376553846 + ... + 2376554335.

It is an arithmetic number, because the mean of its divisors is an integer number (135463583187).

Almost surely, 2^{1164511504345} is an apocalyptic number.

It is an amenable number.

1164511504345 is a deficient number, since it is larger than the sum of its proper divisors (461051493899).

1164511504345 is an equidigital number, since it uses as much as digits as its factorization.

1164511504345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753108200 (or 4753108193 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

Adding to 1164511504345 its reverse (5434051154611), we get a palindrome (6598562658956).

The spelling of 1164511504345 in words is "one trillion, one hundred sixty-four billion, five hundred eleven million, five hundred four thousand, three hundred forty-five".