385145568 has 72 divisors (see below), whose sum is σ = 1097781048. Its totient is φ = 128086272.

The previous prime is 385145567. The next prime is 385145609. The reversal of 385145568 is 865541583.

385145568 is a `hidden beast` number, since 3 + 85 + 1 + 4 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385145567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149346 + ... + 151902.

It is an arithmetic number, because the mean of its divisors is an integer number (15246959).

Almost surely, 2^385145568 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 385145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548890524).

385145568 is an abundant number, since it is smaller than the sum of its proper divisors (712635480).

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

385145568 is a wasteful number, since it uses less digits than its factorization.

385145568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3085 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 385145568 is about 19625.1259359017. The cubic root of 385145568 is about 727.5703095684.

The spelling of 385145568 in words is "three hundred eighty-five million, one hundred forty-five thousand, five hundred sixty-eight".