1085024461248 has 2016 divisors, whose sum is σ = 4386319741440. Its totient is φ = 252912844800.

The previous prime is 1085024461187. The next prime is 1085024461249. The reversal of 1085024461248 is 8421644205801.

1085024461248 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 0 + 24 + 4 + 612 + 4 + 8 = 666.

1085024461248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085024461249) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10742816398 + ... + 10742816498.

It is an arithmetic number, because the mean of its divisors is an integer number (2175753840).

Almost surely, 2^{1085024461248} is an apocalyptic number.

1085024461248 is a gapful number since it is divisible by the number (18) 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 1085024461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193159870720).

1085024461248 is an abundant number, since it is smaller than the sum of its proper divisors (3301295280192).

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

1085024461248 is a wasteful number, since it uses less digits than its factorization.

1085024461248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1085024461248 in words is "one trillion, eighty-five billion, twenty-four million, four hundred sixty-one thousand, two hundred forty-eight".