31716646416 has 600 divisors, whose sum is σ = 115188948864. Its totient is φ = 8248780800.

The previous prime is 31716646397. The next prime is 31716646417. The reversal of 31716646416 is 61464661713.

31716646416 is a `hidden beast` number, since 3 + 17 + 166 + 464 + 16 = 666.

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 (31716646417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210043941 + ... + 210044091.

Almost surely, 2^31716646416 is an apocalyptic number.

31716646416 is a gapful number since it is divisible by the number (36) 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 31716646416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57594474432).

31716646416 is an abundant number, since it is smaller than the sum of its proper divisors (83472302448).

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

31716646416 is a wasteful number, since it uses less digits than its factorization.

31716646416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 313 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 31716646416 in words is "thirty-one billion, seven hundred sixteen million, six hundred forty-six thousand, four hundred sixteen".