385211344896 has 1344 divisors, whose sum is σ = 1443725337600. Its totient is φ = 100329062400.

The previous prime is 385211344883. The next prime is 385211344897. The reversal of 385211344896 is 698443112583.

It is a happy number.

385211344896 is a `hidden beast` number, since 3 + 8 + 5 + 21 + 134 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (385211344897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9395398636 + ... + 9395398676.

It is an arithmetic number, because the mean of its divisors is an integer number (1074200400).

Almost surely, 2^385211344896 is an apocalyptic number.

385211344896 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 385211344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721862668800).

385211344896 is an abundant number, since it is smaller than the sum of its proper divisors (1058513992704).

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

385211344896 is an equidigital number, since it uses as much as digits as its factorization.

385211344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 385211344896 in words is "three hundred eighty-five billion, two hundred eleven million, three hundred forty-four thousand, eight hundred ninety-six".