313201447680 has 576 divisors, whose sum is σ = 1188352166400. Its totient is φ = 69445877760.

The previous prime is 313201447649. The next prime is 313201447697. The reversal of 313201447680 is 86744102313.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23267512 + ... + 23280968.

It is an arithmetic number, because the mean of its divisors is an integer number (2063111400).

Almost surely, 2^313201447680 is an apocalyptic number.

313201447680 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 313201447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594176083200).

313201447680 is an abundant number, since it is smaller than the sum of its proper divisors (875150718720).

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

313201447680 is a wasteful number, since it uses less digits than its factorization.

313201447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13540 (or 13526 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

Adding to 313201447680 its reverse (86744102313), we get a palindrome (399945549993).

The spelling of 313201447680 in words is "three hundred thirteen billion, two hundred one million, four hundred forty-seven thousand, six hundred eighty".