318413198448 has 320 divisors, whose sum is σ = 1035951552000. Its totient is φ = 93030322176.

The previous prime is 318413198437. The next prime is 318413198449. The reversal of 318413198448 is 844891314813.

318413198448 is a `hidden beast` number, since 3 + 1 + 8 + 4 + 1 + 3 + 198 + 448 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 318413198394 and 318413198403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318413198449) 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, 8213286 + ... + 8251962.

It is an arithmetic number, because the mean of its divisors is an integer number (3237348600).

Almost surely, 2^318413198448 is an apocalyptic number.

318413198448 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 318413198448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517975776000).

318413198448 is an abundant number, since it is smaller than the sum of its proper divisors (717538353552).

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

318413198448 is a wasteful number, since it uses less digits than its factorization.

318413198448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38789 (or 38777 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 318413198448 in words is "three hundred eighteen billion, four hundred thirteen million, one hundred ninety-eight thousand, four hundred forty-eight".