385948058020 has 144 divisors (see below), whose sum is σ = 952187549040. Its totient is φ = 131012345856.

The previous prime is 385948058017. The next prime is 385948058021. The reversal of 385948058020 is 20850849583.

It can be written as a sum of positive squares in 8 ways, for example, as 210710377024 + 175237680996 = 459032^2 + 418614^2 .

It is not an unprimeable number, because it can be changed into a prime (385948058021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181280316 + ... + 181282444.

It is an arithmetic number, because the mean of its divisors is an integer number (6612413535).

Almost surely, 2^385948058020 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 385948058020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476093774520).

385948058020 is an abundant number, since it is smaller than the sum of its proper divisors (566239491020).

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

385948058020 is a wasteful number, since it uses less digits than its factorization.

385948058020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 385948058020 in words is "three hundred eighty-five billion, nine hundred forty-eight million, fifty-eight thousand, twenty".