163946184834432 has 1536 divisors, whose sum is σ = 599432962867200. Its totient is φ = 38626689024000.

The previous prime is 163946184834349. The next prime is 163946184834433. The reversal of 163946184834432 is 234438481649361.

163946184834432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×163946184834432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163946184834433) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58531303432 + ... + 58531306232.

It is an arithmetic number, because the mean of its divisors is an integer number (390255835200).

Almost surely, 2^{163946184834432} is an apocalyptic number.

163946184834432 is a gapful number since it is divisible by the number (12) 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 163946184834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299716481433600).

163946184834432 is an abundant number, since it is smaller than the sum of its proper divisors (435486778032768).

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

163946184834432 is a wasteful number, since it uses less digits than its factorization.

163946184834432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3073 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 66.

The spelling of 163946184834432 in words is "one hundred sixty-three trillion, nine hundred forty-six billion, one hundred eighty-four million, eight hundred thirty-four thousand, four hundred thirty-two".