981282416409 has 9 divisors (see below), whose sum is σ = 1417412227413. Its totient is φ = 654186296412.

The previous prime is 981282416347. The next prime is 981282416431. The reversal of 981282416409 is 904614282189.

It is a happy number.

The square root of 981282416409 is 990597.

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

981282416409 is a `hidden beast` number, since 98 + 128 + 24 + 1 + 6 + 409 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 981282416409 - 2⁷ = 981282416281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (981282486409) 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 8 ways as a sum of consecutive naturals, for example, 2806692 + ... + 3136890.

Almost surely, 2^981282416409 is an apocalyptic number.

981282416409 is the 990597-th square number.

981282416409 is the 495299-th centered octagonal number.

It is an amenable number.

981282416409 is a deficient number, since it is larger than the sum of its proper divisors (436129811004).

981282416409 is an frugal number, since it uses more digits than its factorization.

981282416409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660404 (or 330202 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 981282416409 in words is "nine hundred eighty-one billion, two hundred eighty-two million, four hundred sixteen thousand, four hundred nine".