313466426000 has 240 divisors, whose sum is σ = 949538444400. Its totient is φ = 99206553600.

The previous prime is 313466425981. The next prime is 313466426003. The reversal of 313466426000 is 624664313.

It can be written as a sum of positive squares in 8 ways, for example, as 64980127744 + 248486298256 = 254912^2 + 498484^2 .

It is a super-2 number, since 2×313466426000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (313466426003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1150976 + ... + 1397024.

It is an arithmetic number, because the mean of its divisors is an integer number (3956410185).

Almost surely, 2^313466426000 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 313466426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474769222200).

313466426000 is an abundant number, since it is smaller than the sum of its proper divisors (636072018400).

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

313466426000 is a wasteful number, since it uses less digits than its factorization.

313466426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246099 (or 246076 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 313466426000 in words is "three hundred thirteen billion, four hundred sixty-six million, four hundred twenty-six thousand".