163338030800 has 360 divisors, whose sum is σ = 468067273920. Its totient is φ = 54597580800.

The previous prime is 163338030767. The next prime is 163338030881. The reversal of 163338030800 is 8030833361.

It is a Cunningham number, because it is equal to 404151²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 158426285 + ... + 158427315.

It is an arithmetic number, because the mean of its divisors is an integer number (1300186872).

Almost surely, 2^163338030800 is an apocalyptic number.

163338030800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163338030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234033636960).

163338030800 is an abundant number, since it is smaller than the sum of its proper divisors (304729243120).

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

163338030800 is a wasteful number, since it uses less digits than its factorization.

163338030800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 163338030800 in words is "one hundred sixty-three billion, three hundred thirty-eight million, thirty thousand, eight hundred".