385205166687 has 32 divisors (see below), whose sum is σ = 575519351040. Its totient is φ = 227117329920.

The previous prime is 385205166683. The next prime is 385205166733. The reversal of 385205166687 is 786661502583.

It is not a de Polignac number, because 385205166687 - 2² = 385205166683 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385205166683) 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 31 ways as a sum of consecutive naturals, for example, 11630583 + ... + 11663655.

It is an arithmetic number, because the mean of its divisors is an integer number (17984979720).

Almost surely, 2^385205166687 is an apocalyptic number.

385205166687 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

385205166687 is a deficient number, since it is larger than the sum of its proper divisors (190314184353).

385205166687 is a wasteful number, since it uses less digits than its factorization.

385205166687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42663.

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 385205166687 in words is "three hundred eighty-five billion, two hundred five million, one hundred sixty-six thousand, six hundred eighty-seven".