1855460795409 has 81 divisors (see below), whose sum is σ = 2962416641457. Its totient is φ = 1118578249152.

The previous prime is 1855460795399. The next prime is 1855460795411. The reversal of 1855460795409 is 9045970645581.

The square root of 1855460795409 is 1362153.

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

1855460795409 is a `hidden beast` number, since 1 + 8 + 55 + 460 + 79 + 54 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48156985809 + 1807303809600 = 219447^2 + 1344360^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1855460795409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1855460795809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2815569922 + ... + 2815570580.

Almost surely, 2^{1855460795409} is an apocalyptic number.

1855460795409 is the 1362153-rd square number.

1855460795409 is the 681077-th centered octagonal number.

It is an amenable number.

1855460795409 is a deficient number, since it is larger than the sum of its proper divisors (1106955846048).

1855460795409 is an frugal number, since it uses more digits than its factorization.

1855460795409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 1855460795409 in words is "one trillion, eight hundred fifty-five billion, four hundred sixty million, seven hundred ninety-five thousand, four hundred nine".