128666168064 has 576 divisors, whose sum is σ = 454572518400. Its totient is φ = 35121364992.

The previous prime is 128666168027. The next prime is 128666168087. The reversal of 128666168064 is 460861666821.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 128666168064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150135124 + ... + 150135980.

It is an arithmetic number, because the mean of its divisors is an integer number (789188400).

Almost surely, 2^128666168064 is an apocalyptic number.

128666168064 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 128666168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227286259200).

128666168064 is an abundant number, since it is smaller than the sum of its proper divisors (325906350336).

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

128666168064 is a wasteful number, since it uses less digits than its factorization.

128666168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 128666168064 in words is "one hundred twenty-eight billion, six hundred sixty-six million, one hundred sixty-eight thousand, sixty-four".