31714173792 has 144 divisors (see below), whose sum is σ = 103606382880. Its totient is φ = 9014132736.

The previous prime is 31714173781. The next prime is 31714173811. The reversal of 31714173792 is 29737141713.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348334 + ... + 429842.

It is an arithmetic number, because the mean of its divisors is an integer number (719488770).

Almost surely, 2^31714173792 is an apocalyptic number.

31714173792 is a gapful number since it is divisible by the number (32) 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 31714173792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51803191440).

31714173792 is an abundant number, since it is smaller than the sum of its proper divisors (71892209088).

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

31714173792 is a wasteful number, since it uses less digits than its factorization.

31714173792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81725 (or 81714 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The spelling of 31714173792 in words is "thirty-one billion, seven hundred fourteen million, one hundred seventy-three thousand, seven hundred ninety-two".