385106765229 has 48 divisors (see below), whose sum is σ = 584342216640. Its totient is φ = 253428497280.

The previous prime is 385106765221. The next prime is 385106765233. The reversal of 385106765229 is 922567601583.

385106765229 is a `hidden beast` number, since 3 + 8 + 5 + 106 + 7 + 6 + 522 + 9 = 666.

It is not a de Polignac number, because 385106765229 - 2³ = 385106765221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385106765221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7279927 + ... + 7332635.

It is an arithmetic number, because the mean of its divisors is an integer number (12173796180).

Almost surely, 2^385106765229 is an apocalyptic number.

It is an amenable number.

385106765229 is a deficient number, since it is larger than the sum of its proper divisors (199235451411).

385106765229 is a wasteful number, since it uses less digits than its factorization.

385106765229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53112 (or 53100 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 385106765229 in words is "three hundred eighty-five billion, one hundred six million, seven hundred sixty-five thousand, two hundred twenty-nine".