163338369120 has 144 divisors (see below), whose sum is σ = 590180048640. Its totient is φ = 40994721792.

The previous prime is 163338369079. The next prime is 163338369121. The reversal of 163338369120 is 21963833361.

163338369120 is a `hidden beast` number, since 1 + 633 + 3 + 8 + 3 + 6 + 9 + 1 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163338369121) 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, 3311680 + ... + 3360639.

It is an arithmetic number, because the mean of its divisors is an integer number (4098472560).

Almost surely, 2^163338369120 is an apocalyptic number.

163338369120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163338369120 is an abundant number, since it is smaller than the sum of its proper divisors (426841679520).

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

163338369120 is a wasteful number, since it uses less digits than its factorization.

163338369120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672357 (or 6672346 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 163338369120 in words is "one hundred sixty-three billion, three hundred thirty-eight million, three hundred sixty-nine thousand, one hundred twenty".