31361186688 has 192 divisors, whose sum is σ = 94130398080. Its totient is φ = 9229608960.

The previous prime is 31361186663. The next prime is 31361186707. The reversal of 31361186688 is 88668116313.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31361186688.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1482103 + ... + 1503113.

It is an arithmetic number, because the mean of its divisors is an integer number (490262490).

Almost surely, 2^31361186688 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 31361186688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47065199040).

31361186688 is an abundant number, since it is smaller than the sum of its proper divisors (62769211392).

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

31361186688 is a wasteful number, since it uses less digits than its factorization.

31361186688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21077 (or 21052 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The spelling of 31361186688 in words is "thirty-one billion, three hundred sixty-one million, one hundred eighty-six thousand, six hundred eighty-eight".