1106560633728 has 512 divisors, whose sum is σ = 3521859264000. Its totient is φ = 303877324800.

The previous prime is 1106560633721. The next prime is 1106560633747. The reversal of 1106560633728 is 8273360656011.

It is a super-3 number, since 3×1106560633728³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106560633721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1438960128 + ... + 1438960896.

It is an arithmetic number, because the mean of its divisors is an integer number (6878631375).

Almost surely, 2^{1106560633728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106560633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760929632000).

1106560633728 is an abundant number, since it is smaller than the sum of its proper divisors (2415298630272).

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

1106560633728 is a wasteful number, since it uses less digits than its factorization.

1106560633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 1106560633728 in words is "one trillion, one hundred six billion, five hundred sixty million, six hundred thirty-three thousand, seven hundred twenty-eight".