385223800896 has 189 divisors, whose sum is σ = 1214195836399. Its totient is φ = 116684832000.

The previous prime is 385223800883. The next prime is 385223800909. The reversal of 385223800896 is 698008322583.

The square root of 385223800896 is 620664.

It is a perfect power (a square), and thus also a powerful number.

385223800896 is a `hidden beast` number, since 3 + 8 + 522 + 38 + 0 + 0 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (385223800883) and next prime (385223800909).

It is a super-2 number, since 2×385223800896² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 163854121 + ... + 163856471.

Almost surely, 2^385223800896 is an apocalyptic number.

385223800896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

385223800896 is the 620664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385223800896

385223800896 is an abundant number, since it is smaller than the sum of its proper divisors (828972035503).

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

385223800896 is an equidigital number, since it uses as much as digits as its factorization.

385223800896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742 (or 2367 counting only the distinct ones).

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

The spelling of 385223800896 in words is "three hundred eighty-five billion, two hundred twenty-three million, eight hundred thousand, eight hundred ninety-six".