382544672031 has 6 divisors (see below), whose sum is σ = 552564526280. Its totient is φ = 255029781348.

The previous prime is 382544672021. The next prime is 382544672051. The reversal of 382544672031 is 130276445283.

382544672031 is a `hidden beast` number, since 3 + 8 + 2 + 544 + 6 + 72 + 0 + 31 = 666.

It is not a de Polignac number, because 382544672031 - 2²² = 382540477727 is a prime.

It is a super-2 number, since 2×382544672031² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382544672011) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 21252481771 + ... + 21252481788.

Almost surely, 2^382544672031 is an apocalyptic number.

382544672031 is a deficient number, since it is larger than the sum of its proper divisors (170019854249).

382544672031 is a wasteful number, since it uses less digits than its factorization.

382544672031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42504963565 (or 42504963562 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

It can be divided in two parts, 3825 and 44672031, that added together give a square (44675856 = 6684²).

The spelling of 382544672031 in words is "three hundred eighty-two billion, five hundred forty-four million, six hundred seventy-two thousand, thirty-one".