385368291479808 has 5184 divisors, whose sum is σ = 1615148502589440. Its totient is φ = 86973257613312.

The previous prime is 385368291479779. The next prime is 385368291479849. The reversal of 385368291479808 is 808974192863583.

385368291479808 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 68 + 2 + 9 + 1 + 479 + 80 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2227562378410 + ... + 2227562378582.

It is an arithmetic number, because the mean of its divisors is an integer number (311564140160).

It is a 1-persistent number, because it is pandigital, but 2⋅385368291479808 = 770736582959616 is not.

Almost surely, 2^{385368291479808} is an apocalyptic number.

385368291479808 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 385368291479808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807574251294720).

385368291479808 is an abundant number, since it is smaller than the sum of its proper divisors (1229780211109632).

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

385368291479808 is a wasteful number, since it uses less digits than its factorization.

385368291479808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 385368291479808 in words is "three hundred eighty-five trillion, three hundred sixty-eight billion, two hundred ninety-one million, four hundred seventy-nine thousand, eight hundred eight".