31746713616 has 280 divisors, whose sum is σ = 100228624640. Its totient is φ = 9699782400.

The previous prime is 31746713611. The next prime is 31746713617. The reversal of 31746713616 is 61631764713.

31746713616 is a `hidden beast` number, since 3 + 17 + 4 + 6 + 7 + 13 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31746713611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6867786 + ... + 6872406.

Almost surely, 2^31746713616 is an apocalyptic number.

31746713616 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 31746713616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50114312320).

31746713616 is an abundant number, since it is smaller than the sum of its proper divisors (68481911024).

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

31746713616 is a wasteful number, since it uses less digits than its factorization.

31746713616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4676 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 31746713616 in words is "thirty-one billion, seven hundred forty-six million, seven hundred thirteen thousand, six hundred sixteen".