30938134142968 has 256 divisors, whose sum is σ = 68243181592320. Its totient is φ = 13020511076352.

The previous prime is 30938134142959. The next prime is 30938134143029. The reversal of 30938134142968 is 86924143183903.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2477621221 + ... + 2477633707.

It is an arithmetic number, because the mean of its divisors is an integer number (266574928095).

Almost surely, 2^{30938134142968} 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 30938134142968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34121590796160).

30938134142968 is an abundant number, since it is smaller than the sum of its proper divisors (37305047449352).

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

30938134142968 is a wasteful number, since it uses less digits than its factorization.

30938134142968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12906 (or 12902 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 30938134142968 in words is "thirty trillion, nine hundred thirty-eight billion, one hundred thirty-four million, one hundred forty-two thousand, nine hundred sixty-eight".