8611221168 has 180 divisors, whose sum is σ = 27170553384. Its totient is φ = 2524838400.

The previous prime is 8611221149. The next prime is 8611221187.

8611221168 is a `hidden beast` number, since 8 + 611 + 2 + 21 + 16 + 8 = 666.

8611221168 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8611221149) and next prime (8611221187).

It is a super-2 number, since 2×8611221168² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1519396 + ... + 1525052.

Almost surely, 2^8611221168 is an apocalyptic number.

8611221168 is a gapful number since it is divisible by the number (88) 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 8611221168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585276692).

8611221168 is an abundant number, since it is smaller than the sum of its proper divisors (18559332216).

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

8611221168 is a wasteful number, since it uses less digits than its factorization.

8611221168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5704 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 8611221168 is about 92796.6657159620. The cubic root of 8611221168 is about 2049.6903095931.

The spelling of 8611221168 in words is "eight billion, six hundred eleven million, two hundred twenty-one thousand, one hundred sixty-eight".