4163868789136 has 225 divisors, whose sum is σ = 9774471111041. Its totient is φ = 1718180800896.

The previous prime is 4163868789133. The next prime is 4163868789139. The reversal of 4163868789136 is 6319878683614.

The square root of 4163868789136 is 2040556.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4163868789133) and next prime (4163868789139).

It can be written as a sum of positive squares in only one way, i.e., 2183431790736 + 1980436998400 = 1477644^2 + 1407280^2 .

It is not an unprimeable number, because it can be changed into a prime (4163868789133) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11598520125 + ... + 11598520483.

Almost surely, 2^{4163868789136} is an apocalyptic number.

4163868789136 is the 2040556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4163868789136

4163868789136 is an abundant number, since it is smaller than the sum of its proper divisors (5610602321905).

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

4163868789136 is an frugal number, since it uses more digits than its factorization.

4163868789136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 397 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 70.

The spelling of 4163868789136 in words is "four trillion, one hundred sixty-three billion, eight hundred sixty-eight million, seven hundred eighty-nine thousand, one hundred thirty-six".