128943321093216 has 384 divisors, whose sum is σ = 433116640373760. Its totient is φ = 36557823799296.

The previous prime is 128943321093187. The next prime is 128943321093233. The reversal of 128943321093216 is 612390123349821.

It is a happy number.

128943321093216 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 4 + 332 + 1 + 0 + 93 + 216 = 666.

It is a super-2 number, since 2×128943321093216² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2231326275 + ... + 2231384061.

It is an arithmetic number, because the mean of its divisors is an integer number (1127907917640).

Almost surely, 2^{128943321093216} is an apocalyptic number.

128943321093216 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 128943321093216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216558320186880).

128943321093216 is an abundant number, since it is smaller than the sum of its proper divisors (304173319280544).

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

128943321093216 is a wasteful number, since it uses less digits than its factorization.

128943321093216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60643 (or 60629 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 128943321093216 in words is "one hundred twenty-eight trillion, nine hundred forty-three billion, three hundred twenty-one million, ninety-three thousand, two hundred sixteen".