316485344448 has 448 divisors, whose sum is σ = 1205398656000. Its totient is φ = 79074828288.

The previous prime is 316485344443. The next prime is 316485344449. The reversal of 316485344448 is 844443584613.

316485344448 is a `hidden beast` number, since 3 + 1 + 64 + 8 + 534 + 4 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 316485344394 and 316485344403.

It is not an unprimeable number, because it can be changed into a prime (316485344443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2934748 + ... + 3040676.

It is an arithmetic number, because the mean of its divisors is an integer number (2690622000).

Almost surely, 2^316485344448 is an apocalyptic number.

316485344448 is a gapful number since it is divisible by the number (38) 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 316485344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602699328000).

316485344448 is an abundant number, since it is smaller than the sum of its proper divisors (888913311552).

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

316485344448 is a wasteful number, since it uses less digits than its factorization.

316485344448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105989 (or 105973 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 316485344448 in words is "three hundred sixteen billion, four hundred eighty-five million, three hundred forty-four thousand, four hundred forty-eight".