163828332954 has 768 divisors, whose sum is σ = 489104179200. Its totient is φ = 38806732800.

The previous prime is 163828332953. The next prime is 163828332973. The reversal of 163828332954 is 459233828361.

163828332954 is a `hidden beast` number, since 1 + 6 + 38 + 283 + 329 + 5 + 4 = 666.

It is a super-2 number, since 2×163828332954² (a number of 23 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 163828332954.

It is not an unprimeable number, because it can be changed into a prime (163828332953) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1840767742 + ... + 1840767830.

It is an arithmetic number, because the mean of its divisors is an integer number (636854400).

Almost surely, 2^163828332954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163828332954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244552089600).

163828332954 is an abundant number, since it is smaller than the sum of its proper divisors (325275846246).

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

163828332954 is a wasteful number, since it uses less digits than its factorization.

163828332954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 163828332954 in words is "one hundred sixty-three billion, eight hundred twenty-eight million, three hundred thirty-two thousand, nine hundred fifty-four".