128305302276645 has 48 divisors (see below), whose sum is σ = 239509276926192. Its totient is φ = 63164092723200.

The previous prime is 128305302276643. The next prime is 128305302276653. The reversal of 128305302276645 is 546672203503821.

128305302276645 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 0 + 5 + 302 + 276 + 64 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4309638985089 + 123995663291556 = 2075967^2 + 11135334^2 .

It is not a de Polignac number, because 128305302276645 - 2¹ = 128305302276643 is a prime.

It is a super-2 number, since 2×128305302276645² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 128305302276591 and 128305302276600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128305302276643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20593717 + ... + 26090453.

It is an arithmetic number, because the mean of its divisors is an integer number (4989776602629).

Almost surely, 2^{128305302276645} is an apocalyptic number.

128305302276645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128305302276645 is a deficient number, since it is larger than the sum of its proper divisors (111203974649547).

128305302276645 is a wasteful number, since it uses less digits than its factorization.

128305302276645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536662 (or 5536659 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 128305302276645 in words is "one hundred twenty-eight trillion, three hundred five billion, three hundred two million, two hundred seventy-six thousand, six hundred forty-five".