303406874945064 has 256 divisors, whose sum is σ = 919995107328000. Its totient is φ = 91883466904320.

The previous prime is 303406874945047. The next prime is 303406874945087. The reversal of 303406874945064 is 460549478604303.

303406874945064 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 0 + 6 + 87 + 49 + 4 + 506 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 303406874944992 and 303406874945010.

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, 38313782497 + ... + 38313790415.

It is an arithmetic number, because the mean of its divisors is an integer number (3593730888000).

Almost surely, 2^{303406874945064} 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 303406874945064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459997553664000).

303406874945064 is an abundant number, since it is smaller than the sum of its proper divisors (616588232382936).

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

303406874945064 is a wasteful number, since it uses less digits than its factorization.

303406874945064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16085 (or 16075 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 303406874945064 in words is "three hundred three trillion, four hundred six billion, eight hundred seventy-four million, nine hundred forty-five thousand, sixty-four".