385566319424 has 112 divisors (see below), whose sum is σ = 899145467136. Its totient is φ = 161726208000.

The previous prime is 385566319421. The next prime is 385566319429. The reversal of 385566319424 is 424913665583.

It is a super-3 number, since 3×385566319424³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 385566319424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385566319421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57535274 + ... + 57541974.

It is an arithmetic number, because the mean of its divisors is an integer number (8028084528).

Almost surely, 2^385566319424 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 385566319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449572733568).

385566319424 is an abundant number, since it is smaller than the sum of its proper divisors (513579147712).

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

385566319424 is a wasteful number, since it uses less digits than its factorization.

385566319424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13024 (or 13014 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 56.

The spelling of 385566319424 in words is "three hundred eighty-five billion, five hundred sixty-six million, three hundred nineteen thousand, four hundred twenty-four".