31616817912 has 256 divisors, whose sum is σ = 96026112000. Its totient is φ = 9601804800.

The previous prime is 31616817907. The next prime is 31616817917. The reversal of 31616817912 is 21971861613.

31616817912 is a `hidden beast` number, since 3 + 1 + 616 + 8 + 17 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (31616817907) and next prime (31616817917).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31616817917) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23026858 + ... + 23028230.

It is an arithmetic number, because the mean of its divisors is an integer number (375102000).

Almost surely, 2^31616817912 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 31616817912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48013056000).

31616817912 is an abundant number, since it is smaller than the sum of its proper divisors (64409294088).

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

31616817912 is a wasteful number, since it uses less digits than its factorization.

31616817912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1609 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 31616817912 in words is "thirty-one billion, six hundred sixteen million, eight hundred seventeen thousand, nine hundred twelve".