31034050462968 has 192 divisors, whose sum is σ = 90780990537600. Its totient is φ = 8814936049920.

The previous prime is 31034050462963. The next prime is 31034050463149. The reversal of 31034050462968 is 86926405043013.

It is a super-2 number, since 2×31034050462968² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31034050462968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31034050462963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861153846 + ... + 861189882.

It is an arithmetic number, because the mean of its divisors is an integer number (472817659050).

Almost surely, 2^{31034050462968} 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 31034050462968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45390495268800).

31034050462968 is an abundant number, since it is smaller than the sum of its proper divisors (59746940074632).

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

31034050462968 is a wasteful number, since it uses less digits than its factorization.

31034050462968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40330 (or 40319 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 31034050462968 in words is "thirty-one trillion, thirty-four billion, fifty million, four hundred sixty-two thousand, nine hundred sixty-eight".