31385346048 has 560 divisors, whose sum is σ = 111328382880. Its totient is φ = 8620867584.

The previous prime is 31385346011. The next prime is 31385346053. The reversal of 31385346048 is 84064358313.

31385346048 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 5 + 34 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31385345994 and 31385346012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134700940 + ... + 134701172.

Almost surely, 2^31385346048 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 31385346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55664191440).

31385346048 is an abundant number, since it is smaller than the sum of its proper divisors (79943036832).

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

31385346048 is an equidigital number, since it uses as much as digits as its factorization.

31385346048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 31385346048 in words is "thirty-one billion, three hundred eighty-five million, three hundred forty-six thousand, forty-eight".