313253446320 has 240 divisors, whose sum is σ = 1081096117920. Its totient is φ = 81227390976.

The previous prime is 313253446309. The next prime is 313253446343. The reversal of 313253446320 is 23644352313.

313253446320 is a `hidden beast` number, since 3 + 1 + 325 + 3 + 4 + 4 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×313253446320⁴ (a number of 47 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69501507 + ... + 69506013.

It is an arithmetic number, because the mean of its divisors is an integer number (4504567158).

Almost surely, 2^313253446320 is an apocalyptic number.

313253446320 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 313253446320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540548058960).

313253446320 is an abundant number, since it is smaller than the sum of its proper divisors (767842671600).

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

313253446320 is a wasteful number, since it uses less digits than its factorization.

313253446320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7163 counting only the distinct ones).

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

Adding to 313253446320 its reverse (23644352313), we get a palindrome (336897798633).

The spelling of 313253446320 in words is "three hundred thirteen billion, two hundred fifty-three million, four hundred forty-six thousand, three hundred twenty".