313828467264 has 672 divisors, whose sum is σ = 1068501417984. Its totient is φ = 87242158080.

The previous prime is 313828467263. The next prime is 313828467283. The reversal of 313828467264 is 462764828313.

313828467264 is a `hidden beast` number, since 3 + 138 + 28 + 467 + 26 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 313828467264.

It is not an unprimeable number, because it can be changed into a prime (313828467263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229573909 + ... + 229575275.

It is an arithmetic number, because the mean of its divisors is an integer number (1590031872).

Almost surely, 2^313828467264 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 313828467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534250708992).

313828467264 is an abundant number, since it is smaller than the sum of its proper divisors (754672950720).

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

313828467264 is a wasteful number, since it uses less digits than its factorization.

313828467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1482 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 313828467264 in words is "three hundred thirteen billion, eight hundred twenty-eight million, four hundred sixty-seven thousand, two hundred sixty-four".