31868814271680 has 672 divisors, whose sum is σ = 113672673441600. Its totient is φ = 8188571418624.

The previous prime is 31868814271649. The next prime is 31868814271741. The reversal of 31868814271680 is 8617241886813.

It is a happy number.

31868814271680 is a `hidden beast` number, since 3 + 18 + 68 + 81 + 427 + 1 + 68 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6413524236 + ... + 6413529204.

It is an arithmetic number, because the mean of its divisors is an integer number (169155764050).

Almost surely, 2^{31868814271680} is an apocalyptic number.

31868814271680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31868814271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56836336720800).

31868814271680 is an abundant number, since it is smaller than the sum of its proper divisors (81803859169920).

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

31868814271680 is a wasteful number, since it uses less digits than its factorization.

31868814271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 31868814271680 in words is "thirty-one trillion, eight hundred sixty-eight billion, eight hundred fourteen million, two hundred seventy-one thousand, six hundred eighty".