128606141664 has 1440 divisors, whose sum is σ = 529380393696. Its totient is φ = 30098718720.

The previous prime is 128606141663. The next prime is 128606141687. The reversal of 128606141664 is 466141606821.

128606141664 is a `hidden beast` number, since 1 + 28 + 6 + 0 + 614 + 1 + 6 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128606141663) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1325836464 + ... + 1325836560.

Almost surely, 2^128606141664 is an apocalyptic number.

128606141664 is a gapful number since it is divisible by the number (14) 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 128606141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264690196848).

128606141664 is an abundant number, since it is smaller than the sum of its proper divisors (400774252032).

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

128606141664 is a wasteful number, since it uses less digits than its factorization.

128606141664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 128606141664 in words is "one hundred twenty-eight billion, six hundred six million, one hundred forty-one thousand, six hundred sixty-four".