31414192589120 has 112 divisors (see below), whose sum is σ = 81641907661248. Its totient is φ = 11418247004160.

The previous prime is 31414192589111. The next prime is 31414192589123. The reversal of 31414192589120 is 2198529141413.

31414192589120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31414192589123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5905952 + ... + 9884768.

Almost surely, 2^{31414192589120} 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 31414192589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40820953830624).

31414192589120 is an abundant number, since it is smaller than the sum of its proper divisors (50227715072128).

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

31414192589120 is a wasteful number, since it uses less digits than its factorization.

31414192589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981088 (or 3981078 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The spelling of 31414192589120 in words is "thirty-one trillion, four hundred fourteen billion, one hundred ninety-two million, five hundred eighty-nine thousand, one hundred twenty".