386165253248 has 128 divisors (see below), whose sum is σ = 804271403520. Its totient is φ = 184554602496.

The previous prime is 386165253239. The next prime is 386165253251. The reversal of 386165253248 is 842352561683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 386165253248.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45230036 + ... + 45238572.

It is an arithmetic number, because the mean of its divisors is an integer number (6283370340).

Almost surely, 2^386165253248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386165253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402135701760).

386165253248 is an abundant number, since it is smaller than the sum of its proper divisors (418106150272).

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

386165253248 is a wasteful number, since it uses less digits than its factorization.

386165253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774 (or 8762 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 53.

The spelling of 386165253248 in words is "three hundred eighty-six billion, one hundred sixty-five million, two hundred fifty-three thousand, two hundred forty-eight".