313300046304 has 648 divisors, whose sum is σ = 1088765574624. Its totient is φ = 85168742400.

The previous prime is 313300046291. The next prime is 313300046329. The reversal of 313300046304 is 403640003313.

313300046304 is a `hidden beast` number, since 3 + 13 + 300 + 0 + 46 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1114946644 + ... + 1114946924.

It is an arithmetic number, because the mean of its divisors is an integer number (1680193788).

Almost surely, 2^313300046304 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 313300046304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544382787312).

313300046304 is an abundant number, since it is smaller than the sum of its proper divisors (775465528320).

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

313300046304 is a wasteful number, since it uses less digits than its factorization.

313300046304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 313300046304 its reverse (403640003313), we get a palindrome (716940049617).

The spelling of 313300046304 in words is "three hundred thirteen billion, three hundred million, forty-six thousand, three hundred four".