313144843920 has 320 divisors, whose sum is σ = 1031947451136. Its totient is φ = 78440693760.

The previous prime is 313144843903. The next prime is 313144843987. The reversal of 313144843920 is 29348441313.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35311327 + ... + 35320193.

Almost surely, 2^313144843920 is an apocalyptic number.

313144843920 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 313144843920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515973725568).

313144843920 is an abundant number, since it is smaller than the sum of its proper divisors (718802607216).

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

313144843920 is a wasteful number, since it uses less digits than its factorization.

313144843920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9058 (or 9052 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 313144843920 in words is "three hundred thirteen billion, one hundred forty-four million, eight hundred forty-three thousand, nine hundred twenty".