385386488448 has 256 divisors, whose sum is σ = 1197893222400. Its totient is φ = 108714700800.

The previous prime is 385386488401. The next prime is 385386488483. The reversal of 385386488448 is 844884683583.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2874753 + ... + 3005823.

It is an arithmetic number, because the mean of its divisors is an integer number (4679270400).

Almost surely, 2^385386488448 is an apocalyptic number.

385386488448 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 385386488448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598946611200).

385386488448 is an abundant number, since it is smaller than the sum of its proper divisors (812506733952).

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

385386488448 is a wasteful number, since it uses less digits than its factorization.

385386488448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131151 (or 131139 counting only the distinct ones).

The product of its digits is 566231040, while the sum is 69.

The spelling of 385386488448 in words is "three hundred eighty-five billion, three hundred eighty-six million, four hundred eighty-eight thousand, four hundred forty-eight".