4728759001457 has 2 divisors, whose sum is σ = 4728759001458. Its totient is φ = 4728759001456.

The previous prime is 4728759001399. The next prime is 4728759001489. The reversal of 4728759001457 is 7541009578274.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4462271783281 + 266487218176 = 2112409^2 + 516224^2 .

It is a cyclic number.

It is not a de Polignac number, because 4728759001457 - 2¹⁴ = 4728758985073 is a prime.

It is a super-2 number, since 2×4728759001457² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4728759001396 and 4728759001405.

It is not a weakly prime, because it can be changed into another prime (4728759001957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2364379500728 + 2364379500729.

It is an arithmetic number, because the mean of its divisors is an integer number (2364379500729).

Almost surely, 2^{4728759001457} is an apocalyptic number.

It is an amenable number.

4728759001457 is a deficient number, since it is larger than the sum of its proper divisors (1).

4728759001457 is an equidigital number, since it uses as much as digits as its factorization.

4728759001457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19756800, while the sum is 59.

The spelling of 4728759001457 in words is "four trillion, seven hundred twenty-eight billion, seven hundred fifty-nine million, one thousand, four hundred fifty-seven".