8161401888 has 288 divisors, whose sum is σ = 25767129024. Its totient is φ = 2532114432.

The previous prime is 8161401887. The next prime is 8161401929. The reversal of 8161401888 is 8881041618.

8161401888 is a `hidden beast` number, since 8 + 161 + 401 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8161401881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14144256 + ... + 14144832.

It is an arithmetic number, because the mean of its divisors is an integer number (89469198).

Almost surely, 2^8161401888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8161401888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12883564512).

8161401888 is an abundant number, since it is smaller than the sum of its proper divisors (17605727136).

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

8161401888 is a wasteful number, since it uses less digits than its factorization.

8161401888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The square root of 8161401888 is about 90340.4775723485. The cubic root of 8161401888 is about 2013.3607043728.

The spelling of 8161401888 in words is "eight billion, one hundred sixty-one million, four hundred one thousand, eight hundred eighty-eight".