385502622253056 has 2736 divisors, whose sum is σ = 1485196858163200. Its totient is φ = 96137537126400.

The previous prime is 385502622253043. The next prime is 385502622253121. The reversal of 385502622253056 is 650352226205583.

385502622253056 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 0 + 2 + 622 + 2 + 5 + 3 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×385502622253056² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385502622252993 and 385502622253011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3035453718465 + ... + 3035453718591.

Almost surely, 2^{385502622253056} is an apocalyptic number.

385502622253056 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 385502622253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742598429081600).

385502622253056 is an abundant number, since it is smaller than the sum of its proper divisors (1099694235910144).

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

385502622253056 is an equidigital number, since it uses as much as digits as its factorization.

385502622253056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 385502622253056 in words is "three hundred eighty-five trillion, five hundred two billion, six hundred twenty-two million, two hundred fifty-three thousand, fifty-six".