313685875200 has 240 divisors, whose sum is σ = 1069672893696. Its totient is φ = 80950886400.

The previous prime is 313685875189. The next prime is 313685875211. The reversal of 313685875200 is 2578586313.

It is an interprime number because it is at equal distance from previous prime (313685875189) and next prime (313685875211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 313685875200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058644 + ... + 1322156.

Almost surely, 2^313685875200 is an apocalyptic number.

313685875200 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 313685875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534836446848).

313685875200 is an abundant number, since it is smaller than the sum of its proper divisors (755987018496).

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

313685875200 is a wasteful number, since it uses less digits than its factorization.

313685875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263575 (or 263554 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 313685875200 in words is "three hundred thirteen billion, six hundred eighty-five million, eight hundred seventy-five thousand, two hundred".