305344456704 has 384 divisors, whose sum is σ = 1067105894400. Its totient is φ = 84423720960.

The previous prime is 305344456631. The next prime is 305344456759. The reversal of 305344456704 is 407654443503.

305344456704 is a `hidden beast` number, since 3 + 0 + 534 + 4 + 45 + 6 + 70 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 305344456704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11986509 + ... + 12011955.

It is an arithmetic number, because the mean of its divisors is an integer number (2778921600).

Almost surely, 2^305344456704 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 305344456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533552947200).

305344456704 is an abundant number, since it is smaller than the sum of its proper divisors (761761437696).

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

305344456704 is a wasteful number, since it uses less digits than its factorization.

305344456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25516 (or 25490 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 305344456704 in words is "three hundred five billion, three hundred forty-four million, four hundred fifty-six thousand, seven hundred four".