969145128 has 256 divisors, whose sum is σ = 3194880000. Its totient is φ = 272051136.

The previous prime is 969145091. The next prime is 969145147. The reversal of 969145128 is 821541969.

969145128 is a `hidden beast` number, since 96 + 91 + 451 + 28 = 666.

It is a super-2 number, since 2×969145128² = 1878484558252272768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7631001 + ... + 7631127.

It is an arithmetic number, because the mean of its divisors is an integer number (12480000).

Almost surely, 2^969145128 is an apocalyptic number.

969145128 is a gapful number since it is divisible by the number (98) 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 969145128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597440000).

969145128 is an abundant number, since it is smaller than the sum of its proper divisors (2225734872).

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

969145128 is a wasteful number, since it uses less digits than its factorization.

969145128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 242 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 969145128 is about 31131.0958367996. The cubic root of 969145128 is about 989.6074109124.

The spelling of 969145128 in words is "nine hundred sixty-nine million, one hundred forty-five thousand, one hundred twenty-eight".