30974843420160 has 160 divisors (see below), whose sum is σ = 99028373064192. Its totient is φ = 8259485245440.

The previous prime is 30974843420083. The next prime is 30974843420161. The reversal of 30974843420160 is 6102434847903.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30974843420161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146052117 + ... + 146264043.

Almost surely, 2^{30974843420160} is an apocalyptic number.

30974843420160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30974843420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49514186532096).

30974843420160 is an abundant number, since it is smaller than the sum of its proper divisors (68053529644032).

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

30974843420160 is a wasteful number, since it uses less digits than its factorization.

30974843420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230984 (or 230968 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 30974843420160 in words is "thirty trillion, nine hundred seventy-four billion, eight hundred forty-three million, four hundred twenty thousand, one hundred sixty".