31350468006 has 96 divisors (see below), whose sum is σ = 80763201792. Its totient is φ = 8663647680.

The previous prime is 31350467957. The next prime is 31350468029. The reversal of 31350468006 is 60086405313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140271 + ... + 287013.

It is an arithmetic number, because the mean of its divisors is an integer number (841283352).

Almost surely, 2^31350468006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31350468006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40381600896).

31350468006 is an abundant number, since it is smaller than the sum of its proper divisors (49412733786).

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

31350468006 is a wasteful number, since it uses less digits than its factorization.

31350468006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146858 (or 146855 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 31350468006 in words is "thirty-one billion, three hundred fifty million, four hundred sixty-eight thousand, six".