31249919688 has 128 divisors (see below), whose sum is σ = 86712595200. Its totient is φ = 9322546176.

The previous prime is 31249919681. The next prime is 31249919689. The reversal of 31249919688 is 88691994213.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (31249919681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3377773 + ... + 3387011.

It is an arithmetic number, because the mean of its divisors is an integer number (677442150).

Almost surely, 2^31249919688 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 31249919688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43356297600).

31249919688 is an abundant number, since it is smaller than the sum of its proper divisors (55462675512).

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

31249919688 is a wasteful number, since it uses less digits than its factorization.

31249919688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9587 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

The spelling of 31249919688 in words is "thirty-one billion, two hundred forty-nine million, nine hundred nineteen thousand, six hundred eighty-eight".