385228823256 has 192 divisors, whose sum is σ = 1153694880000. Its totient is φ = 115579664640.

The previous prime is 385228823219. The next prime is 385228823257. The reversal of 385228823256 is 652328822583.

385228823256 is a `hidden beast` number, since 3 + 8 + 522 + 8 + 82 + 32 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385228823257) 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, 4647051 + ... + 4729221.

It is an arithmetic number, because the mean of its divisors is an integer number (6008827500).

Almost surely, 2^385228823256 is an apocalyptic number.

385228823256 is a gapful number since it is divisible by the number (36) 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 385228823256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576847440000).

385228823256 is an abundant number, since it is smaller than the sum of its proper divisors (768466056744).

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

385228823256 is a wasteful number, since it uses less digits than its factorization.

385228823256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82374 (or 82367 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 385228823256 in words is "three hundred eighty-five billion, two hundred twenty-eight million, eight hundred twenty-three thousand, two hundred fifty-six".