385314275808 has 576 divisors, whose sum is σ = 1462481879040. Its totient is φ = 96848524800.

The previous prime is 385314275791. The next prime is 385314275831. The reversal of 385314275808 is 808572413583.

385314275808 is a `hidden beast` number, since 3 + 8 + 5 + 31 + 4 + 27 + 580 + 8 = 666.

It is a super-2 number, since 2×385314275808² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18550933 + ... + 18571691.

It is an arithmetic number, because the mean of its divisors is an integer number (2539031040).

Almost surely, 2^385314275808 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 385314275808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731240939520).

385314275808 is an abundant number, since it is smaller than the sum of its proper divisors (1077167603232).

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

385314275808 is a wasteful number, since it uses less digits than its factorization.

385314275808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20833 (or 20813 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 385314275808 in words is "three hundred eighty-five billion, three hundred fourteen million, two hundred seventy-five thousand, eight hundred eight".