128617410816 has 648 divisors, whose sum is σ = 423718501920. Its totient is φ = 38466109440.

The previous prime is 128617410793. The next prime is 128617410829. The reversal of 128617410816 is 618014716821.

128617410816 is a `hidden beast` number, since 1 + 2 + 8 + 617 + 4 + 10 + 8 + 16 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1919662815 + ... + 1919662881.

Almost surely, 2^128617410816 is an apocalyptic number.

128617410816 is a gapful number since it is divisible by the number (16) 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 128617410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211859250960).

128617410816 is an abundant number, since it is smaller than the sum of its proper divisors (295101091104).

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

128617410816 is an equidigital number, since it uses as much as digits as its factorization.

128617410816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 128617410816 in words is "one hundred twenty-eight billion, six hundred seventeen million, four hundred ten thousand, eight hundred sixteen".