313852143820950 has 240 divisors, whose sum is σ = 996652181901024. Its totient is φ = 71735439283200.

The previous prime is 313852143820879. The next prime is 313852143820967. The reversal of 313852143820950 is 59028341258313.

313852143820950 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 521 + 4 + 3 + 8 + 20 + 95 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1039642030 + ... + 1039943870.

Almost surely, 2^{313852143820950} is an apocalyptic number.

313852143820950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313852143820950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498326090950512).

313852143820950 is an abundant number, since it is smaller than the sum of its proper divisors (682800038080074).

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

313852143820950 is a wasteful number, since it uses less digits than its factorization.

313852143820950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338549 (or 338535 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 313852143820950 in words is "three hundred thirteen trillion, eight hundred fifty-two billion, one hundred forty-three million, eight hundred twenty thousand, nine hundred fifty".