128484968704 has 81 divisors (see below), whose sum is σ = 263076065049. Its totient is φ = 62628034560.

The previous prime is 128484968699. The next prime is 128484968707. The reversal of 128484968704 is 407869484821.

The square root of 128484968704 is 358448.

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

It can be written as a sum of positive squares in only one way, i.e., 36845570304 + 91639398400 = 191952^2 + 302720^2 .

It is a super-3 number, since 3×128484968704³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128484968707) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 246611964 + ... + 246612484.

Almost surely, 2^128484968704 is an apocalyptic number.

128484968704 is the 358448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128484968704

128484968704 is an abundant number, since it is smaller than the sum of its proper divisors (134591096345).

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

128484968704 is an frugal number, since it uses more digits than its factorization.

128484968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 61.

The spelling of 128484968704 in words is "one hundred twenty-eight billion, four hundred eighty-four million, nine hundred sixty-eight thousand, seven hundred four".