985452641712 has 480 divisors, whose sum is σ = 3512683459584. Its totient is φ = 250487193600.

The previous prime is 985452641707. The next prime is 985452641717. The reversal of 985452641712 is 217146254589.

985452641712 is a `hidden beast` number, since 9 + 8 + 5 + 4 + 526 + 41 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (985452641707) and next prime (985452641717).

It is a super-2 number, since 2×985452641712² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (985452641717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107848408 + ... + 107857544.

Almost surely, 2^985452641712 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 985452641712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756341729792).

985452641712 is an abundant number, since it is smaller than the sum of its proper divisors (2527230817872).

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

985452641712 is a wasteful number, since it uses less digits than its factorization.

985452641712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9368 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 985452641712 in words is "nine hundred eighty-five billion, four hundred fifty-two million, six hundred forty-one thousand, seven hundred twelve".