4746149478401 has 2 divisors, whose sum is σ = 4746149478402. Its totient is φ = 4746149478400.

The previous prime is 4746149478359. The next prime is 4746149478403. The reversal of 4746149478401 is 1048749416474.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4562773684225 + 183375794176 = 2136065^2 + 428224^2 .

It is a cyclic number.

It is not a de Polignac number, because 4746149478401 - 2¹⁸ = 4746149216257 is a prime.

Together with 4746149478403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4746149478403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2373074739200 + 2373074739201.

It is an arithmetic number, because the mean of its divisors is an integer number (2373074739201).

Almost surely, 2^{4746149478401} is an apocalyptic number.

It is an amenable number.

4746149478401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4746149478401 is an equidigital number, since it uses as much as digits as its factorization.

4746149478401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21676032, while the sum is 59.

The spelling of 4746149478401 in words is "four trillion, seven hundred forty-six billion, one hundred forty-nine million, four hundred seventy-eight thousand, four hundred one".