47628386128601 has 2 divisors, whose sum is σ = 47628386128602. Its totient is φ = 47628386128600.

The previous prime is 47628386128577. The next prime is 47628386128621. The reversal of 47628386128601 is 10682168382674.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41989091050201 + 5639295078400 = 6479899^2 + 2374720^2 .

It is a cyclic number.

It is not a de Polignac number, because 47628386128601 - 2⁶ = 47628386128537 is a prime.

It is a super-2 number, since 2×47628386128601² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (47628386128621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23814193064300 + 23814193064301.

It is an arithmetic number, because the mean of its divisors is an integer number (23814193064301).

Almost surely, 2^{47628386128601} is an apocalyptic number.

It is an amenable number.

47628386128601 is a deficient number, since it is larger than the sum of its proper divisors (1).

47628386128601 is an equidigital number, since it uses as much as digits as its factorization.

47628386128601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37158912, while the sum is 62.

The spelling of 47628386128601 in words is "forty-seven trillion, six hundred twenty-eight billion, three hundred eighty-six million, one hundred twenty-eight thousand, six hundred one".