128067065155584 has 1053 divisors, whose sum is σ = 401602291268997. Its totient is φ = 40831276843008.

The previous prime is 128067065155573. The next prime is 128067065155591. The reversal of 128067065155584 is 485551560760821.

The square root of 128067065155584 is 11316672.

It is a perfect power (a square), and thus also a powerful number.

128067065155584 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 6 + 7 + 0 + 65 + 15 + 558 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114596168601600 + 13470896553984 = 10704960^2 + 3670272^2 .

It is a super-2 number, since 2×128067065155584² (a number of 29 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 2170628222947 + ... + 2170628223005.

Almost surely, 2^{128067065155584} is an apocalyptic number.

128067065155584 is the 11316672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128067065155584

128067065155584 is an abundant number, since it is smaller than the sum of its proper divisors (273535226113413).

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

128067065155584 is an frugal number, since it uses more digits than its factorization.

128067065155584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 63.

The spelling of 128067065155584 in words is "one hundred twenty-eight trillion, sixty-seven billion, sixty-five million, one hundred fifty-five thousand, five hundred eighty-four".