1085917446144 has 600 divisors, whose sum is σ = 3471267824640. Its totient is φ = 337105649664.

The previous prime is 1085917446121. The next prime is 1085917446149. The reversal of 1085917446144 is 4416447195801.

1085917446144 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 9 + 17 + 4 + 4 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085917446149) 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 39 ways as a sum of consecutive naturals, for example, 2865217347 + ... + 2865217725.

Almost surely, 2^{1085917446144} 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 1085917446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735633912320).

1085917446144 is an abundant number, since it is smaller than the sum of its proper divisors (2385350378496).

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

1085917446144 is an equidigital number, since it uses as much as digits as its factorization.

1085917446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1085917446144 in words is "one trillion, eighty-five billion, nine hundred seventeen million, four hundred forty-six thousand, one hundred forty-four".