128199366144 has 480 divisors, whose sum is σ = 405808026624. Its totient is φ = 40340643840.

The previous prime is 128199366143. The next prime is 128199366193. The reversal of 128199366144 is 441663991821.

128199366144 is a `hidden beast` number, since 1 + 2 + 8 + 19 + 9 + 3 + 6 + 614 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128199366143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165846142 + ... + 165846914.

Almost surely, 2^128199366144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128199366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202904013312).

128199366144 is an abundant number, since it is smaller than the sum of its proper divisors (277608660480).

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

128199366144 is an frugal number, since it uses more digits than its factorization.

128199366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 852 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 128199366144 in words is "one hundred twenty-eight billion, one hundred ninety-nine million, three hundred sixty-six thousand, one hundred forty-four".