31894120710144 has 1215 divisors, whose sum is σ = 118427611015623. Its totient is φ = 8240814489600.

The previous prime is 31894120710017. The next prime is 31894120710157. The reversal of 31894120710144 is 44101702149813.

The square root of 31894120710144 is 5647488.

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

31894120710144 is a `hidden beast` number, since 3 + 1 + 89 + 412 + 0 + 7 + 10 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31894120710144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 166984925089 + ... + 166984925279.

Almost surely, 2^{31894120710144} is an apocalyptic number.

31894120710144 is the 5647488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31894120710144

31894120710144 is an abundant number, since it is smaller than the sum of its proper divisors (86533490305479).

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

31894120710144 is an equidigital number, since it uses as much as digits as its factorization.

31894120710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

Adding to 31894120710144 its reverse (44101702149813), we get a palindrome (75995822859957).

The spelling of 31894120710144 in words is "thirty-one trillion, eight hundred ninety-four billion, one hundred twenty million, seven hundred ten thousand, one hundred forty-four".