385431258546 has 64 divisors (see below), whose sum is σ = 858212720640. Its totient is φ = 128222514000.

The previous prime is 385431258539. The next prime is 385431258557. The reversal of 385431258546 is 645852134583.

385431258546 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 3 + 12 + 585 + 46 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 385431258492 and 385431258501.

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 31 ways as a sum of consecutive naturals, for example, 115293351 + ... + 115296693.

It is an arithmetic number, because the mean of its divisors is an integer number (13409573760).

Almost surely, 2^385431258546 is an apocalyptic number.

385431258546 is an abundant number, since it is smaller than the sum of its proper divisors (472781462094).

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

385431258546 is a wasteful number, since it uses less digits than its factorization.

385431258546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6942 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 385431258546 in words is "three hundred eighty-five billion, four hundred thirty-one million, two hundred fifty-eight thousand, five hundred forty-six".