316329873032448 has 2304 divisors, whose sum is σ = 1133544919449600. Its totient is φ = 85914164920320.

The previous prime is 316329873032399. The next prime is 316329873032477. The reversal of 316329873032448 is 844230378923613.

316329873032448 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 2 + 9 + 87 + 303 + 244 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 861934258761 + ... + 861934259127.

It is an arithmetic number, because the mean of its divisors is an integer number (491989982400).

Almost surely, 2^{316329873032448} 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 316329873032448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566772459724800).

316329873032448 is an abundant number, since it is smaller than the sum of its proper divisors (817215046417152).

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

316329873032448 is a wasteful number, since it uses less digits than its factorization.

316329873032448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 316329873032448 in words is "three hundred sixteen trillion, three hundred twenty-nine billion, eight hundred seventy-three million, thirty-two thousand, four hundred forty-eight".