4563773417401 has 27 divisors (see below), whose sum is σ = 5052618588717. Its totient is φ = 4119126279840.

The previous prime is 4563773417381. The next prime is 4563773417407. The reversal of 4563773417401 is 1047143773654.

The square root of 4563773417401 is 2136299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13572483001 + 4550200934400 = 116501^2 + 2133120^2 .

It is not a de Polignac number, because 4563773417401 - 2²⁷ = 4563639199673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4563773417407) 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 in 26 ways as a sum of consecutive naturals, for example, 3689387755 + ... + 3689388991.

Almost surely, 2^{4563773417401} is an apocalyptic number.

4563773417401 is the 2136299-th square number.

4563773417401 is the 1068150-th centered octagonal number.

It is an amenable number.

4563773417401 is a deficient number, since it is larger than the sum of its proper divisors (488845171316).

4563773417401 is an frugal number, since it uses more digits than its factorization.

4563773417401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 52.

The spelling of 4563773417401 in words is "four trillion, five hundred sixty-three billion, seven hundred seventy-three million, four hundred seventeen thousand, four hundred one".