163243817436672 has 1440 divisors, whose sum is σ = 588475260172800. Its totient is φ = 42552135254016.

The previous prime is 163243817436643. The next prime is 163243817436769. The reversal of 163243817436672 is 276634718342361.

163243817436672 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 4 + 38 + 174 + 366 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86418113104 + ... + 86418114992.

It is an arithmetic number, because the mean of its divisors is an integer number (408663375120).

Almost surely, 2^{163243817436672} is an apocalyptic number.

163243817436672 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 163243817436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294237630086400).

163243817436672 is an abundant number, since it is smaller than the sum of its proper divisors (425231442736128).

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

163243817436672 is a wasteful number, since it uses less digits than its factorization.

163243817436672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2060 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 163243817436672 in words is "one hundred sixty-three trillion, two hundred forty-three billion, eight hundred seventeen million, four hundred thirty-six thousand, six hundred seventy-two".