30461831434314 has 96 divisors (see below), whose sum is σ = 76416702136320. Its totient is φ = 8589543090336.

The previous prime is 30461831434267. The next prime is 30461831434339. The reversal of 30461831434314 is 41343413816403.

It is a happy number.

30461831434314 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 18 + 314 + 3 + 4 + 314 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30461831434314.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22710087 + ... + 24013989.

It is an arithmetic number, because the mean of its divisors is an integer number (796007313920).

Almost surely, 2^{30461831434314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30461831434314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208351068160).

30461831434314 is an abundant number, since it is smaller than the sum of its proper divisors (45954870702006).

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

30461831434314 is a wasteful number, since it uses less digits than its factorization.

30461831434314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306344 (or 1306341 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 30461831434314 in words is "thirty trillion, four hundred sixty-one billion, eight hundred thirty-one million, four hundred thirty-four thousand, three hundred fourteen".