1085243377032 has 288 divisors, whose sum is σ = 3076993370880. Its totient is φ = 345513600000.

The previous prime is 1085243376989. The next prime is 1085243377051. The reversal of 1085243377032 is 2307733425801.

It is a happy number.

1085243377032 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 243 + 377 + 0 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2517965857 + ... + 2517966287.

It is an arithmetic number, because the mean of its divisors is an integer number (10684004760).

Almost surely, 2^{1085243377032} is an apocalyptic number.

1085243377032 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 1085243377032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538496685440).

1085243377032 is an abundant number, since it is smaller than the sum of its proper divisors (1991749993848).

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

1085243377032 is a wasteful number, since it uses less digits than its factorization.

1085243377032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 1085243377032 in words is "one trillion, eighty-five billion, two hundred forty-three million, three hundred seventy-seven thousand, thirty-two".