382605381153 has 24 divisors (see below), whose sum is σ = 560092553280. Its totient is φ = 251654669280.

The previous prime is 382605381127. The next prime is 382605381187. The reversal of 382605381153 is 351183506283.

382605381153 is a `hidden beast` number, since 3 + 8 + 2 + 60 + 538 + 1 + 1 + 53 = 666.

It is not a de Polignac number, because 382605381153 - 2⁸ = 382605380897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 382605381099 and 382605381108.

It is not an unprimeable number, because it can be changed into a prime (382605381853) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 517803 + ... + 1016528.

It is an arithmetic number, because the mean of its divisors is an integer number (23337189720).

Almost surely, 2^382605381153 is an apocalyptic number.

It is an amenable number.

382605381153 is a deficient number, since it is larger than the sum of its proper divisors (177487172127).

382605381153 is a wasteful number, since it uses less digits than its factorization.

382605381153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534709 (or 1534706 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 382605381153 in words is "three hundred eighty-two billion, six hundred five million, three hundred eighty-one thousand, one hundred fifty-three".