1106723012832 has 240 divisors, whose sum is σ = 3453906899520. Its totient is φ = 346441162752.

The previous prime is 1106723012831. The next prime is 1106723012839. The reversal of 1106723012832 is 2382103276011.

1106723012832 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 72 + 301 + 283 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106723012831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20109769 + ... + 20164727.

It is an arithmetic number, because the mean of its divisors is an integer number (14391278748).

Almost surely, 2^{1106723012832} is an apocalyptic number.

1106723012832 is a gapful number since it is divisible by the number (12) 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 1106723012832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726953449760).

1106723012832 is an abundant number, since it is smaller than the sum of its proper divisors (2347183886688).

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

1106723012832 is a wasteful number, since it uses less digits than its factorization.

1106723012832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55455 (or 55438 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 1106723012832 its reverse (2382103276011), we get a palindrome (3488826288843).

The spelling of 1106723012832 in words is "one trillion, one hundred six billion, seven hundred twenty-three million, twelve thousand, eight hundred thirty-two".