313304034456 has 512 divisors, whose sum is σ = 1076689152000. Its totient is φ = 82413158400.

The previous prime is 313304034383. The next prime is 313304034457. The reversal of 313304034456 is 654430403313.

313304034456 is a `hidden beast` number, since 3 + 1 + 3 + 304 + 0 + 344 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 313304034456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313304034457) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 542987640 + ... + 542988216.

It is an arithmetic number, because the mean of its divisors is an integer number (2102908500).

Almost surely, 2^313304034456 is an apocalyptic number.

313304034456 is a gapful number since it is divisible by the number (36) 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 313304034456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538344576000).

313304034456 is an abundant number, since it is smaller than the sum of its proper divisors (763385117544).

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

313304034456 is a wasteful number, since it uses less digits than its factorization.

313304034456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 313304034456 its reverse (654430403313), we get a palindrome (967734437769).

The spelling of 313304034456 in words is "three hundred thirteen billion, three hundred four million, thirty-four thousand, four hundred fifty-six".