31348697688 has 192 divisors, whose sum is σ = 110455488000. Its totient is φ = 7788464640.

The previous prime is 31348697671. The next prime is 31348697689. The reversal of 31348697688 is 88679684313.

31348697688 is a `hidden beast` number, since 3 + 1 + 3 + 486 + 9 + 76 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31348697689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4588 + ... + 250436.

It is an arithmetic number, because the mean of its divisors is an integer number (575289000).

Almost surely, 2^31348697688 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 31348697688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55227744000).

31348697688 is an abundant number, since it is smaller than the sum of its proper divisors (79106790312).

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

31348697688 is a wasteful number, since it uses less digits than its factorization.

31348697688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245902 (or 245895 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 31348697688 in words is "thirty-one billion, three hundred forty-eight million, six hundred ninety-seven thousand, six hundred eighty-eight".