163973134080 has 864 divisors, whose sum is σ = 678828294144. Its totient is φ = 37121753088.

The previous prime is 163973134049. The next prime is 163973134081. The reversal of 163973134080 is 80431379361.

163973134080 is a `hidden beast` number, since 1 + 639 + 7 + 3 + 1 + 3 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (163973134081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276514264 + ... + 276514856.

It is an arithmetic number, because the mean of its divisors is an integer number (785680896).

Almost surely, 2^163973134080 is an apocalyptic number.

163973134080 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 163973134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339414147072).

163973134080 is an abundant number, since it is smaller than the sum of its proper divisors (514855160064).

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

163973134080 is an equidigital number, since it uses as much as digits as its factorization.

163973134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 163973134080 in words is "one hundred sixty-three billion, nine hundred seventy-three million, one hundred thirty-four thousand, eighty".