385954922528 has 162 divisors, whose sum is σ = 917131463703. Its totient is φ = 159410280960.

The previous prime is 385954922489. The next prime is 385954922543. The reversal of 385954922528 is 825229459583.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 162592819984 + 223362102544 = 403228^2 + 472612^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=439292.

It is a super-2 number, since 2×385954922528² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 713409938 + ... + 713410478.

Almost surely, 2^385954922528 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 385954922528

385954922528 is an abundant number, since it is smaller than the sum of its proper divisors (531176541175).

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

385954922528 is an frugal number, since it uses more digits than its factorization.

385954922528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 579 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 62.

The spelling of 385954922528 in words is "three hundred eighty-five billion, nine hundred fifty-four million, nine hundred twenty-two thousand, five hundred twenty-eight".