8660629101168 has 480 divisors, whose sum is σ = 29084338483200. Its totient is φ = 2467295251200.

The previous prime is 8660629101167. The next prime is 8660629101239. The reversal of 8660629101168 is 8611019260668.

8660629101168 is a `hidden beast` number, since 8 + 6 + 6 + 0 + 629 + 1 + 0 + 1 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8660629101167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106408873 + ... + 106490231.

It is an arithmetic number, because the mean of its divisors is an integer number (60592371840).

Almost surely, 2^{8660629101168} is an apocalyptic number.

8660629101168 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 8660629101168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14542169241600).

8660629101168 is an abundant number, since it is smaller than the sum of its proper divisors (20423709382032).

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

8660629101168 is a wasteful number, since it uses less digits than its factorization.

8660629101168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81543 (or 81525 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 8660629101168 in words is "eight trillion, six hundred sixty billion, six hundred twenty-nine million, one hundred one thousand, one hundred sixty-eight".