1085446801152 has 1296 divisors, whose sum is σ = 4035874402560. Its totient is φ = 284432891904.

The previous prime is 1085446801129. The next prime is 1085446801181. The reversal of 1085446801152 is 2511086445801.

1085446801152 is a `hidden beast` number, since 1 + 0 + 85 + 446 + 80 + 1 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×1085446801152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1085446801098 and 1085446801107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9605723848 + ... + 9605723960.

Almost surely, 2^{1085446801152} is an apocalyptic number.

1085446801152 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 1085446801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017937201280).

1085446801152 is an abundant number, since it is smaller than the sum of its proper divisors (2950427601408).

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

1085446801152 is an frugal number, since it uses more digits than its factorization.

1085446801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1085446801152 in words is "one trillion, eighty-five billion, four hundred forty-six million, eight hundred one thousand, one hundred fifty-two".