305385031471104 has 832 divisors, whose sum is σ = 1030781651200000. Its totient is φ = 88570209632256.

The previous prime is 305385031471049. The next prime is 305385031471133. The reversal of 305385031471104 is 401174130583503.

305385031471104 is a `hidden beast` number, since 3 + 0 + 5 + 38 + 503 + 1 + 4 + 7 + 1 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a self number, because there is not a number n which added to its sum of digits gives 305385031471104.

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, 5435900487 + ... + 5435956665.

Almost surely, 2^{305385031471104} 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 305385031471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515390825600000).

305385031471104 is an abundant number, since it is smaller than the sum of its proper divisors (725396619728896).

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

305385031471104 is a wasteful number, since it uses less digits than its factorization.

305385031471104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56443 (or 56415 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 305385031471104 in words is "three hundred five trillion, three hundred eighty-five billion, thirty-one million, four hundred seventy-one thousand, one hundred four".