128948713344 has 320 divisors, whose sum is σ = 443267866800. Its totient is φ = 36776263680.

The previous prime is 128948713343. The next prime is 128948713381. The reversal of 128948713344 is 443317849821.

128948713344 is a `hidden beast` number, since 1 + 28 + 9 + 487 + 133 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128948713343) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1905562 + ... + 1972070.

Almost surely, 2^128948713344 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 128948713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221633933400).

128948713344 is an abundant number, since it is smaller than the sum of its proper divisors (314319153456).

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

128948713344 is a wasteful number, since it uses less digits than its factorization.

128948713344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66563 (or 66542 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 128948713344 in words is "one hundred twenty-eight billion, nine hundred forty-eight million, seven hundred thirteen thousand, three hundred forty-four".