385606061568 has 1920 divisors, whose sum is σ = 1595919283200. Its totient is φ = 89436192768.

The previous prime is 385606061563. The next prime is 385606061569. The reversal of 385606061568 is 865160606583.

385606061568 is a `hidden beast` number, since 3 + 8 + 560 + 6 + 0 + 6 + 15 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385606061563) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5282274780 + ... + 5282274852.

It is an arithmetic number, because the mean of its divisors is an integer number (831207960).

Almost surely, 2^385606061568 is an apocalyptic number.

385606061568 is a gapful number since it is divisible by the number (38) 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 385606061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797959641600).

385606061568 is an abundant number, since it is smaller than the sum of its proper divisors (1210313221632).

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

385606061568 is a wasteful number, since it uses less digits than its factorization.

385606061568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 385606061568 in words is "three hundred eighty-five billion, six hundred six million, sixty-one thousand, five hundred sixty-eight".