4046145417001 has 2 divisors, whose sum is σ = 4046145417002. Its totient is φ = 4046145417000.

The previous prime is 4046145416959. The next prime is 4046145417037. The reversal of 4046145417001 is 1007145416404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3789547448976 + 256597968025 = 1946676^2 + 506555^2 .

It is a cyclic number.

It is not a de Polignac number, because 4046145417001 - 2¹¹ = 4046145414953 is a prime.

It is a super-3 number, since 3×4046145417001³ (a number of 39 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (4046145417071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2023072708500 + 2023072708501.

It is an arithmetic number, because the mean of its divisors is an integer number (2023072708501).

Almost surely, 2^{4046145417001} is an apocalyptic number.

It is an amenable number.

4046145417001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4046145417001 is an equidigital number, since it uses as much as digits as its factorization.

4046145417001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 4046145417001 in words is "four trillion, forty-six billion, one hundred forty-five million, four hundred seventeen thousand, one".