128069244450 has 864 divisors, whose sum is σ = 449823352320. Its totient is φ = 26682566400.

The previous prime is 128069244449. The next prime is 128069244461. The reversal of 128069244450 is 54442960821.

It is a happy number.

128069244450 is a `hidden beast` number, since 128 + 0 + 69 + 24 + 445 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 128069244396 and 128069244405.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 740284564 + ... + 740284736.

It is an arithmetic number, because the mean of its divisors is an integer number (520628880).

Almost surely, 2^128069244450 is an apocalyptic number.

128069244450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128069244450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224911676160).

128069244450 is an abundant number, since it is smaller than the sum of its proper divisors (321754107870).

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

128069244450 is a wasteful number, since it uses less digits than its factorization.

128069244450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 128069244450 in words is "one hundred twenty-eight billion, sixty-nine million, two hundred forty-four thousand, four hundred fifty".