128219177064384 has 280 divisors, whose sum is σ = 434713250508768. Its totient is φ = 36605878732800.

The previous prime is 128219177064379. The next prime is 128219177064463. The reversal of 128219177064384 is 483460771912821.

128219177064384 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 191 + 7 + 7 + 0 + 6 + 438 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45852742 + ... + 48568634.

Almost surely, 2^{128219177064384} is an apocalyptic number.

128219177064384 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 128219177064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217356625254384).

128219177064384 is an abundant number, since it is smaller than the sum of its proper divisors (306494073444384).

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

128219177064384 is a wasteful number, since it uses less digits than its factorization.

128219177064384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717225 (or 2717206 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 128219177064384 in words is "one hundred twenty-eight trillion, two hundred nineteen billion, one hundred seventy-seven million, sixty-four thousand, three hundred eighty-four".