4466886477001 has 9 divisors (see below), whose sum is σ = 4836954161781. Its totient is φ = 4123254462912.

The previous prime is 4466886476993. The next prime is 4466886477013. The reversal of 4466886477001 is 1007746886644.

It is a happy number.

The square root of 4466886477001 is 2113501.

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 2763078387001 + 1703808090000 = 1662251^2 + 1305300^2 .

It is not a de Polignac number, because 4466886477001 - 2³ = 4466886476993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4466886477401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27394225 + ... + 27556801.

It is an arithmetic number, because the mean of its divisors is an integer number (537439351309).

Almost surely, 2^{4466886477001} is an apocalyptic number.

4466886477001 is the 2113501-st square number.

4466886477001 is the 1056751-st centered octagonal number.

It is an amenable number.

4466886477001 is a deficient number, since it is larger than the sum of its proper divisors (370067684780).

4466886477001 is an frugal number, since it uses more digits than its factorization.

4466886477001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325180 (or 162590 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 61.

The spelling of 4466886477001 in words is "four trillion, four hundred sixty-six billion, eight hundred eighty-six million, four hundred seventy-seven thousand, one".