385223384383488 has 2520 divisors, whose sum is σ = 1432584700585920. Its totient is φ = 103238605209600.

The previous prime is 385223384383471. The next prime is 385223384383567. The reversal of 385223384383488 is 884383483322583.

385223384383488 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 2 + 33 + 84 + 38 + 3 + 488 = 666.

It is a super-2 number, since 2×385223384383488² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3814092914638 + ... + 3814092914738.

It is an arithmetic number, because the mean of its divisors is an integer number (568485992296).

Almost surely, 2^{385223384383488} is an apocalyptic number.

385223384383488 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 385223384383488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716292350292960).

385223384383488 is an abundant number, since it is smaller than the sum of its proper divisors (1047361316202432).

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

385223384383488 is an frugal number, since it uses more digits than its factorization.

385223384383488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 132 counting only the distinct ones).

The product of its digits is 2548039680, while the sum is 72.

The spelling of 385223384383488 in words is "three hundred eighty-five trillion, two hundred twenty-three billion, three hundred eighty-four million, three hundred eighty-three thousand, four hundred eighty-eight".