10182461854009 has 9 divisors (see below), whose sum is σ = 10644502820133. Its totient is φ = 9739675919292.

The previous prime is 10182461853931. The next prime is 10182461854021. The reversal of 10182461854009 is 90045816428101.

The square root of 10182461854009 is 3190997.

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

It is not a de Polignac number, because 10182461854009 - 2²¹ = 10182459756857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10182461854709) 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, 73323562 + ... + 73462300.

Almost surely, 2^{10182461854009} is an apocalyptic number.

10182461854009 is the 3190997-th square number.

10182461854009 is the 1595499-th centered octagonal number.

It is an amenable number.

10182461854009 is a deficient number, since it is larger than the sum of its proper divisors (462040966124).

10182461854009 is an frugal number, since it uses more digits than its factorization.

10182461854009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277524 (or 138762 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

Multiplying 10182461854009 by its sum of digits (49), we get a square (498940630846441 = 22336979²).

The spelling of 10182461854009 in words is "ten trillion, one hundred eighty-two billion, four hundred sixty-one million, eight hundred fifty-four thousand, nine".