1461417449881 has 9 divisors (see below), whose sum is σ = 1468105156191. Its totient is φ = 1454760087144.

The previous prime is 1461417449857. The next prime is 1461417449909. The reversal of 1461417449881 is 1889447141641.

It is a happy number.

The square root of 1461417449881 is 1208891.

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

It can be written as a sum of positive squares in only one way, i.e., 1361093222281 + 100324227600 = 1166659^2 + 316740^2 .

It is not a de Polignac number, because 1461417449881 - 2³⁹ = 911661635993 is a prime.

It is a super-2 number, since 2×1461417449881² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1461417449581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 276833400 + ... + 276838678.

Almost surely, 2^{1461417449881} is an apocalyptic number.

1461417449881 is the 1208891-st square number.

1461417449881 is the 604446-th centered octagonal number.

It is an amenable number.

1461417449881 is a deficient number, since it is larger than the sum of its proper divisors (6687706310).

1461417449881 is an frugal number, since it uses more digits than its factorization.

1461417449881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016 (or 5508 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 58.

The spelling of 1461417449881 in words is "one trillion, four hundred sixty-one billion, four hundred seventeen million, four hundred forty-nine thousand, eight hundred eighty-one".