385146663 has 32 divisors (see below), whose sum is σ = 591360000. Its totient is φ = 220514400.

The previous prime is 385146659. The next prime is 385146667. The reversal of 385146663 is 366641583.

It is an interprime number because it is at equal distance from previous prime (385146659) and next prime (385146667).

It is not a de Polignac number, because 385146663 - 2² = 385146659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385146667) 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 31 ways as a sum of consecutive naturals, for example, 312258 + ... + 313488.

It is an arithmetic number, because the mean of its divisors is an integer number (18480000).

Almost surely, 2^385146663 is an apocalyptic number.

385146663 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

385146663 is a deficient number, since it is larger than the sum of its proper divisors (206213337).

385146663 is a wasteful number, since it uses less digits than its factorization.

385146663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763.

The product of its digits is 311040, while the sum is 42.

The square root of 385146663 is about 19625.1538337920. The cubic root of 385146663 is about 727.5709990815.

The spelling of 385146663 in words is "three hundred eighty-five million, one hundred forty-six thousand, six hundred sixty-three".