985332100000000 has 729 divisors, whose sum is σ = 2551974361845489. Its totient is φ = 379693440000000.

The previous prime is 985332099999943. The next prime is 985332100000009. The reversal of 985332100000000 is 1233589.

It is a happy number.

The square root of 985332100000000 is 31390000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 78244922419456 + 907087177580544 = 8845616^2 + 30117888^2 .

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 985332099999899 and 985332099999908.

It is not an unprimeable number, because it can be changed into a prime (985332100000009) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13497699999964 + ... + 13497700000036.

Almost surely, 2^{985332100000000} is an apocalyptic number.

985332100000000 is the 31390000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985332100000000

985332100000000 is an abundant number, since it is smaller than the sum of its proper divisors (1566642261845489).

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

985332100000000 is an frugal number, since it uses more digits than its factorization.

985332100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 985332100000000 its reverse (1233589), we get a palindrome (985332101233589).

The spelling of 985332100000000 in words is "nine hundred eighty-five trillion, three hundred thirty-two billion, one hundred million", and thus it is an aban number.