31714555145112 has 576 divisors, whose sum is σ = 103045333248000. Its totient is φ = 8782273124352.

The previous prime is 31714555145087. The next prime is 31714555145167. The reversal of 31714555145112 is 21154155541713.

31714555145112 is a `hidden beast` number, since 3 + 1 + 7 + 1 + 45 + 551 + 4 + 51 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21327877633 + ... + 21327879119.

It is an arithmetic number, because the mean of its divisors is an integer number (178898148000).

Almost surely, 2^{31714555145112} 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 31714555145112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51522666624000).

31714555145112 is an abundant number, since it is smaller than the sum of its proper divisors (71330778102888).

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

31714555145112 is a wasteful number, since it uses less digits than its factorization.

31714555145112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2934 counting only the distinct ones).

The product of its digits is 420000, while the sum is 45.

The spelling of 31714555145112 in words is "thirty-one trillion, seven hundred fourteen billion, five hundred fifty-five million, one hundred forty-five thousand, one hundred twelve".