31585191648 has 96 divisors (see below), whose sum is σ = 85504960800. Its totient is φ = 10202480640.

The previous prime is 31585191641. The next prime is 31585191697. The reversal of 31585191648 is 84619158513.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 31585191648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31585191641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559536 + ... + 613392.

It is an arithmetic number, because the mean of its divisors is an integer number (890676675).

Almost surely, 2^31585191648 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 31585191648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42752480400).

31585191648 is an abundant number, since it is smaller than the sum of its proper divisors (53919769152).

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

31585191648 is a wasteful number, since it uses less digits than its factorization.

31585191648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54060 (or 54052 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The spelling of 31585191648 in words is "thirty-one billion, five hundred eighty-five million, one hundred ninety-one thousand, six hundred forty-eight".