10606629168 has 120 divisors (see below), whose sum is σ = 30685464576. Its totient is φ = 3416572800.

The previous prime is 10606629151. The next prime is 10606629169. The reversal of 10606629168 is 86192660601.

10606629168 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 6 + 629 + 16 + 8 = 666.

It is a super-2 number, since 2×10606629168² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10606629169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4333321 + ... + 4335767.

Almost surely, 2^10606629168 is an apocalyptic number.

10606629168 is a gapful number since it is divisible by the number (18) 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 10606629168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15342732288).

10606629168 is an abundant number, since it is smaller than the sum of its proper divisors (20078835408).

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

10606629168 is a wasteful number, since it uses less digits than its factorization.

10606629168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10606629168 in words is "ten billion, six hundred six million, six hundred twenty-nine thousand, one hundred sixty-eight".