31716144768 has 512 divisors, whose sum is σ = 110688768000. Its totient is φ = 7801896960.

The previous prime is 31716144767. The next prime is 31716144797. The reversal of 31716144768 is 86744161713.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31716144767) 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, 101329380 + ... + 101329692.

It is an arithmetic number, because the mean of its divisors is an integer number (216189000).

Almost surely, 2^31716144768 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 31716144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55344384000).

31716144768 is an abundant number, since it is smaller than the sum of its proper divisors (78972623232).

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

31716144768 is a wasteful number, since it uses less digits than its factorization.

31716144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 31716144768 in words is "thirty-one billion, seven hundred sixteen million, one hundred forty-four thousand, seven hundred sixty-eight".