313338896640 has 2016 divisors, whose sum is σ = 1447691616000. Its totient is φ = 64377815040.

The previous prime is 313338896627. The next prime is 313338896653. The reversal of 313338896640 is 46698833313.

313338896640 is a `hidden beast` number, since 3 + 133 + 388 + 96 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (313338896627) and next prime (313338896653).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3520661716 + ... + 3520661804.

It is an arithmetic number, because the mean of its divisors is an integer number (718101000).

Almost surely, 2^313338896640 is an apocalyptic number.

313338896640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313338896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723845808000).

313338896640 is an abundant number, since it is smaller than the sum of its proper divisors (1134352719360).

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

313338896640 is an frugal number, since it uses more digits than its factorization.

313338896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 313338896640 in words is "three hundred thirteen billion, three hundred thirty-eight million, eight hundred ninety-six thousand, six hundred forty".