1105651312164 has 144 divisors (see below), whose sum is σ = 3304801019520. Its totient is φ = 304955965440.

The previous prime is 1105651312153. The next prime is 1105651312169. The reversal of 1105651312164 is 4612131565011.

1105651312164 is a `hidden beast` number, since 1 + 1 + 0 + 565 + 1 + 31 + 2 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1105651312169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69220699 + ... + 69236669.

It is an arithmetic number, because the mean of its divisors is an integer number (22950007080).

Almost surely, 2^{1105651312164} is an apocalyptic number.

1105651312164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105651312164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652400509760).

1105651312164 is an abundant number, since it is smaller than the sum of its proper divisors (2199149707356).

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

1105651312164 is a wasteful number, since it uses less digits than its factorization.

1105651312164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25490 (or 25485 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 1105651312164 its reverse (4612131565011), we get a palindrome (5717782877175).

The spelling of 1105651312164 in words is "one trillion, one hundred five billion, six hundred fifty-one million, three hundred twelve thousand, one hundred sixty-four".