313284464640 has 1872 divisors, whose sum is σ = 1424548315008. Its totient is φ = 64465403904.

The previous prime is 313284464621. The next prime is 313284464671. The reversal of 313284464640 is 46464482313.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 13621063669 + ... + 13621063691.

It is an arithmetic number, because the mean of its divisors is an integer number (760976664).

Almost surely, 2^313284464640 is an apocalyptic number.

313284464640 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 313284464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712274157504).

313284464640 is an abundant number, since it is smaller than the sum of its proper divisors (1111263850368).

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

313284464640 is an equidigital number, since it uses as much as digits as its factorization.

313284464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

It can be divided in two parts, 313284 and 464640, that added together give a square (777924 = 882²).

The spelling of 313284464640 in words is "three hundred thirteen billion, two hundred eighty-four million, four hundred sixty-four thousand, six hundred forty".