4735628504429 has 2 divisors, whose sum is σ = 4735628504430. Its totient is φ = 4735628504428.

The previous prime is 4735628504417. The next prime is 4735628504459. The reversal of 4735628504429 is 9244058265374.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3442609352329 + 1293019152100 = 1855427^2 + 1137110^2 .

It is a cyclic number.

It is not a de Polignac number, because 4735628504429 - 2²⁸ = 4735360068973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4735628504459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2367814252214 + 2367814252215.

It is an arithmetic number, because the mean of its divisors is an integer number (2367814252215).

Almost surely, 2^{4735628504429} is an apocalyptic number.

It is an amenable number.

4735628504429 is a deficient number, since it is larger than the sum of its proper divisors (1).

4735628504429 is an equidigital number, since it uses as much as digits as its factorization.

4735628504429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58060800, while the sum is 59.

The spelling of 4735628504429 in words is "four trillion, seven hundred thirty-five billion, six hundred twenty-eight million, five hundred four thousand, four hundred twenty-nine".