31431477168 has 800 divisors, whose sum is σ = 119983987200. Its totient is φ = 7758706176.

The previous prime is 31431477163. The next prime is 31431477169. The reversal of 31431477168 is 86177413413.

31431477168 is a `hidden beast` number, since 3 + 14 + 3 + 1 + 477 + 168 = 666.

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

Its product of digits (338688) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (31431477163) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 378692455 + ... + 378692537.

It is an arithmetic number, because the mean of its divisors is an integer number (149979984).

Almost surely, 2^31431477168 is an apocalyptic number.

31431477168 is a gapful number since it is divisible by the number (38) 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 31431477168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59991993600).

31431477168 is an abundant number, since it is smaller than the sum of its proper divisors (88552510032).

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

31431477168 is a wasteful number, since it uses less digits than its factorization.

31431477168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 127 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 31431477168 in words is "thirty-one billion, four hundred thirty-one million, four hundred seventy-seven thousand, one hundred sixty-eight".