1105365851136 has 352 divisors, whose sum is σ = 3454445145600. Its totient is φ = 348457697280.

The previous prime is 1105365851087. The next prime is 1105365851189. The reversal of 1105365851136 is 6311585635011.

1105365851136 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 36 + 585 + 1 + 1 + 36 = 666.

It is a super-2 number, since 2×1105365851136² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1105365851091 and 1105365851100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56585691 + ... + 56605221.

Almost surely, 2^{1105365851136} is an apocalyptic number.

1105365851136 is a gapful number since it is divisible by the number (16) 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 1105365851136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727222572800).

1105365851136 is an abundant number, since it is smaller than the sum of its proper divisors (2349079294464).

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

1105365851136 is a wasteful number, since it uses less digits than its factorization.

1105365851136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19672 (or 19648 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1105365851136 in words is "one trillion, one hundred five billion, three hundred sixty-five million, eight hundred fifty-one thousand, one hundred thirty-six".