824163361428 has 192 divisors, whose sum is σ = 2190733848576. Its totient is φ = 238936320000.

The previous prime is 824163361423. The next prime is 824163361429.

824163361428 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824163361423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139049401 + ... + 139055327.

It is an arithmetic number, because the mean of its divisors is an integer number (11410072128).

Almost surely, 2^824163361428 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 824163361428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095366924288).

824163361428 is an abundant number, since it is smaller than the sum of its proper divisors (1366570487148).

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

824163361428 is a wasteful number, since it uses less digits than its factorization.

824163361428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454 (or 6452 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 824163361428 in words is "eight hundred twenty-four billion, one hundred sixty-three million, three hundred sixty-one thousand, four hundred twenty-eight".