31813065974976 has 224 divisors, whose sum is σ = 99323114381568. Its totient is φ = 8859556392960.

The previous prime is 31813065974959. The next prime is 31813065974993. The reversal of 31813065974976 is 67947956031813.

It is an interprime number because it is at equal distance from previous prime (31813065974959) and next prime (31813065974993).

It is a self number, because there is not a number n which added to its sum of digits gives 31813065974976.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3680326 + ... + 8784698.

It is an arithmetic number, because the mean of its divisors is an integer number (443406760632).

Almost surely, 2^{31813065974976} 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 31813065974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49661557190784).

31813065974976 is an abundant number, since it is smaller than the sum of its proper divisors (67510048406592).

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

31813065974976 is a wasteful number, since it uses less digits than its factorization.

31813065974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104639 (or 5104629 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 69.

The spelling of 31813065974976 in words is "thirty-one trillion, eight hundred thirteen billion, sixty-five million, nine hundred seventy-four thousand, nine hundred seventy-six".