31530706239648 has 288 divisors, whose sum is σ = 104013527587200. Its totient is φ = 8186613811200.

The previous prime is 31530706239581. The next prime is 31530706239733. The reversal of 31530706239648 is 84693260703513.

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 47 ways as a sum of consecutive naturals, for example, 213044778 + ... + 213192726.

It is an arithmetic number, because the mean of its divisors is an integer number (361158081900).

It is a 1-persistent number, because it is pandigital, but 2⋅31530706239648 = 63061412479296 is not.

Almost surely, 2^{31530706239648} 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 31530706239648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52006763793600).

31530706239648 is an abundant number, since it is smaller than the sum of its proper divisors (72482821347552).

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

31530706239648 is a wasteful number, since it uses less digits than its factorization.

31530706239648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150612 (or 150593 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 31530706239648 in words is "thirty-one trillion, five hundred thirty billion, seven hundred six million, two hundred thirty-nine thousand, six hundred forty-eight".