385123518 has 64 divisors (see below), whose sum is σ = 925182720. Its totient is φ = 118047456.

The previous prime is 385123517. The next prime is 385123573. The reversal of 385123518 is 815321583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385123513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214621 + ... + 216407.

It is an arithmetic number, because the mean of its divisors is an integer number (14455980).

Almost surely, 2^385123518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385123518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462591360).

385123518 is an abundant number, since it is smaller than the sum of its proper divisors (540059202).

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

385123518 is a wasteful number, since it uses less digits than its factorization.

385123518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2112 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 385123518 is about 19624.5641480263. The cubic root of 385123518 is about 727.5564245746.

It can be divided in two parts, 385123 and 518, that added together give a square (385641 = 621²).

The spelling of 385123518 in words is "three hundred eighty-five million, one hundred twenty-three thousand, five hundred eighteen".