128669910412176 has 225 divisors, whose sum is σ = 433218989631681. Its totient is φ = 36762014830464.

The previous prime is 128669910412157. The next prime is 128669910412201. The reversal of 128669910412176 is 671214019966821.

The square root of 128669910412176 is 11343276.

It is a perfect power (a square), and thus also a powerful number.

128669910412176 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 69 + 91 + 0 + 412 + 1 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3548325690000 + 125121584722176 = 1883700^2 + 11185776^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2858483046 + ... + 2858528058.

Almost surely, 2^{128669910412176} is an apocalyptic number.

128669910412176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128669910412176 is the 11343276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128669910412176

128669910412176 is an abundant number, since it is smaller than the sum of its proper divisors (304549079219505).

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

128669910412176 is an frugal number, since it uses more digits than its factorization.

128669910412176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90060 (or 45025 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 128669910412176 in words is "one hundred twenty-eight trillion, six hundred sixty-nine billion, nine hundred ten million, four hundred twelve thousand, one hundred seventy-six".