30946050334080 has 384 divisors, whose sum is σ = 123498598017600. Its totient is φ = 6993905909760.

The previous prime is 30946050334037. The next prime is 30946050334093. The reversal of 30946050334080 is 8043305064903.

30946050334080 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 60 + 503 + 3 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 723381 + ... + 7900340.

Almost surely, 2^{30946050334080} is an apocalyptic number.

30946050334080 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 30946050334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61749299008800).

30946050334080 is an abundant number, since it is smaller than the sum of its proper divisors (92552547683520).

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

30946050334080 is a wasteful number, since it uses less digits than its factorization.

30946050334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623842 (or 8623827 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 30946050334080 its reverse (8043305064903), we get a palindrome (38989355398983).

The spelling of 30946050334080 in words is "thirty trillion, nine hundred forty-six billion, fifty million, three hundred thirty-four thousand, eighty".