313631449824 has 192 divisors, whose sum is σ = 1026923692032. Its totient is φ = 81423552000.

The previous prime is 313631449823. The next prime is 313631449841. The reversal of 313631449824 is 428944136313.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313631449823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17369569 + ... + 17387615.

It is an arithmetic number, because the mean of its divisors is an integer number (5348560896).

Almost surely, 2^313631449824 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 313631449824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513461846016).

313631449824 is an abundant number, since it is smaller than the sum of its proper divisors (713292242208).

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

313631449824 is a wasteful number, since it uses less digits than its factorization.

313631449824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20429 (or 20421 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 313631449824 in words is "three hundred thirteen billion, six hundred thirty-one million, four hundred forty-nine thousand, eight hundred twenty-four".