128368809360016 has 45 divisors (see below), whose sum is σ = 249016552886569. Its totient is φ = 64106567607488.

The previous prime is 128368809359957. The next prime is 128368809360041. The reversal of 128368809360016 is 610063908863821.

The square root of 128368809360016 is 11329996.

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., 126877245440400 + 1491563919616 = 11263980^2 + 1221296^2 .

It is a super-2 number, since 2×128368809360016² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 62224337001 + ... + 62224339063.

Almost surely, 2^{128368809360016} is an apocalyptic number.

128368809360016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128368809360016 is the 11329996-th square number.

It is an amenable number.

128368809360016 is a deficient number, since it is larger than the sum of its proper divisors (120647743526553).

128368809360016 is an frugal number, since it uses more digits than its factorization.

128368809360016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 128368809360016 in words is "one hundred twenty-eight trillion, three hundred sixty-eight billion, eight hundred nine million, three hundred sixty thousand, sixteen".