386017163424 has 144 divisors (see below), whose sum is σ = 1107986783904. Its totient is φ = 127474214400.

The previous prime is 386017163423. The next prime is 386017163489. The reversal of 386017163424 is 424361710683.

386017163424 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 1 + 7 + 1 + 634 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×386017163424² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 386017163424.

It is not an unprimeable number, because it can be changed into a prime (386017163423) 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 23 ways as a sum of consecutive naturals, for example, 23118919 + ... + 23135609.

It is an arithmetic number, because the mean of its divisors is an integer number (7694352666).

Almost surely, 2^386017163424 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 386017163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553993391952).

386017163424 is an abundant number, since it is smaller than the sum of its proper divisors (721969620480).

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

386017163424 is a wasteful number, since it uses less digits than its factorization.

386017163424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17451 (or 17440 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 386017163424 in words is "three hundred eighty-six billion, seventeen million, one hundred sixty-three thousand, four hundred twenty-four".