313052724480 has 144 divisors (see below), whose sum is σ = 1003424978304. Its totient is φ = 83179069440.

The previous prime is 313052724469. The next prime is 313052724521. The reversal of 313052724480 is 84427250313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916525 + ... + 1210835.

It is an arithmetic number, because the mean of its divisors is an integer number (6968229016).

Almost surely, 2^313052724480 is an apocalyptic number.

313052724480 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 313052724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501712489152).

313052724480 is an abundant number, since it is smaller than the sum of its proper divisors (690372253824).

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

313052724480 is a wasteful number, since it uses less digits than its factorization.

313052724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294612 (or 294598 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 313052724480 its reverse (84427250313), we get a palindrome (397479974793).

The spelling of 313052724480 in words is "three hundred thirteen billion, fifty-two million, seven hundred twenty-four thousand, four hundred eighty".