4735628504435 has 16 divisors (see below), whose sum is σ = 5741297127072. Its totient is φ = 3749503968000.

The previous prime is 4735628504429. The next prime is 4735628504459. The reversal of 4735628504435 is 5344058265374.

It is not a de Polignac number, because 4735628504435 - 2⁸ = 4735628504179 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 586769 + ... + 3132978.

It is an arithmetic number, because the mean of its divisors is an integer number (358831070442).

Almost surely, 2^{4735628504435} is an apocalyptic number.

4735628504435 is a deficient number, since it is larger than the sum of its proper divisors (1005668622637).

4735628504435 is a wasteful number, since it uses less digits than its factorization.

4735628504435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722374.

The product of its (nonzero) digits is 48384000, while the sum is 56.

The spelling of 4735628504435 in words is "four trillion, seven hundred thirty-five billion, six hundred twenty-eight million, five hundred four thousand, four hundred thirty-five".