1085118188352 has 168 divisors, whose sum is σ = 3202878987168. Its totient is φ = 323915412480.

The previous prime is 1085118188351. The next prime is 1085118188389. The reversal of 1085118188352 is 2538818115801.

It is a junction number, because it is equal to n+sod(n) for n = 1085118188295 and 1085118188304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085118188351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207978 + ... + 1905110.

It is an arithmetic number, because the mean of its divisors is an integer number (19064755876).

Almost surely, 2^{1085118188352} is an apocalyptic number.

1085118188352 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 1085118188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601439493584).

1085118188352 is an abundant number, since it is smaller than the sum of its proper divisors (2117760798816).

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

1085118188352 is a wasteful number, since it uses less digits than its factorization.

1085118188352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697237 (or 697216 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 51.

The spelling of 1085118188352 in words is "one trillion, eighty-five billion, one hundred eighteen million, one hundred eighty-eight thousand, three hundred fifty-two".