10614160128 has 288 divisors, whose sum is σ = 33493082112. Its totient is φ = 2941747200.

The previous prime is 10614160127. The next prime is 10614160159. The reversal of 10614160128 is 82106141601.

It is a super-2 number, since 2×10614160128² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10614160095 and 10614160104.

It is not an unprimeable number, because it can be changed into a prime (10614160127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13947268 + ... + 13948028.

It is an arithmetic number, because the mean of its divisors is an integer number (116295424).

Almost surely, 2^10614160128 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 10614160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746541056).

10614160128 is an abundant number, since it is smaller than the sum of its proper divisors (22878921984).

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

10614160128 is a wasteful number, since it uses less digits than its factorization.

10614160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 10614160128 in words is "ten billion, six hundred fourteen million, one hundred sixty thousand, one hundred twenty-eight".