313426536400 has 120 divisors (see below), whose sum is σ = 779282857080. Its totient is φ = 120999352320.

The previous prime is 313426536383. The next prime is 313426536407. The reversal of 313426536400 is 4635624313.

It can be written as a sum of positive squares in 12 ways, for example, as 122146704 + 313304389696 = 11052^2 + 559736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 313426536400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313426536407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46547434 + ... + 46554166.

It is an arithmetic number, because the mean of its divisors is an integer number (6494023809).

Almost surely, 2^313426536400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313426536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389641428540).

313426536400 is an abundant number, since it is smaller than the sum of its proper divisors (465856320680).

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

313426536400 is a wasteful number, since it uses less digits than its factorization.

313426536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10782 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 313426536400 in words is "three hundred thirteen billion, four hundred twenty-six million, five hundred thirty-six thousand, four hundred".