313428124672 has 396 divisors, whose sum is σ = 745013960820. Its totient is φ = 131554934784.

The previous prime is 313428124657. The next prime is 313428124679. The reversal of 313428124672 is 276421824313.

It can be written as a sum of positive squares in 6 ways, for example, as 5962310656 + 307465814016 = 77216^2 + 554496^2 .

It is not an unprimeable number, because it can be changed into a prime (313428124679) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1811723178 + ... + 1811723350.

Almost surely, 2^313428124672 is an apocalyptic number.

313428124672 is a gapful number since it is divisible by the number (32) 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 313428124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372506980410).

313428124672 is an abundant number, since it is smaller than the sum of its proper divisors (431585836148).

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

313428124672 is a wasteful number, since it uses less digits than its factorization.

313428124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 236 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

Adding to 313428124672 its reverse (276421824313), we get a palindrome (589849948985).

The spelling of 313428124672 in words is "three hundred thirteen billion, four hundred twenty-eight million, one hundred twenty-four thousand, six hundred seventy-two".