128406216708 has 384 divisors, whose sum is σ = 446216601600. Its totient is φ = 30922819200.

The previous prime is 128406216707. The next prime is 128406216709. The reversal of 128406216708 is 807612604821.

128406216708 is a `hidden beast` number, since 1 + 28 + 406 + 216 + 7 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (128406216707) and next prime (128406216709).

It is a super-4 number, since 4×128406216708⁴ (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (128406216707) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 7417543 + ... + 7434833.

It is an arithmetic number, because the mean of its divisors is an integer number (1162022400).

Almost surely, 2^128406216708 is an apocalyptic number.

128406216708 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 128406216708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223108300800).

128406216708 is an abundant number, since it is smaller than the sum of its proper divisors (317810384892).

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

128406216708 is a wasteful number, since it uses less digits than its factorization.

128406216708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388 (or 17380 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 128406216708 in words is "one hundred twenty-eight billion, four hundred six million, two hundred sixteen thousand, seven hundred eight".