385815622176 has 384 divisors, whose sum is σ = 1173527308800. Its totient is φ = 123216629760.

The previous prime is 385815622169. The next prime is 385815622189. The reversal of 385815622176 is 671226518583.

385815622176 is a `hidden beast` number, since 3 + 8 + 5 + 8 + 1 + 5 + 622 + 1 + 7 + 6 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 916426446 + ... + 916426866.

It is an arithmetic number, because the mean of its divisors is an integer number (3056060700).

Almost surely, 2^385815622176 is an apocalyptic number.

385815622176 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 385815622176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586763654400).

385815622176 is an abundant number, since it is smaller than the sum of its proper divisors (787711686624).

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

385815622176 is a wasteful number, since it uses less digits than its factorization.

385815622176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 835 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 385815622176 in words is "three hundred eighty-five billion, eight hundred fifteen million, six hundred twenty-two thousand, one hundred seventy-six".