1205806040464 has 45 divisors (see below), whose sum is σ = 2347218954849. Its totient is φ = 600085316160.

The previous prime is 1205806040429. The next prime is 1205806040477. The reversal of 1205806040464 is 4640406085021.

The square root of 1205806040464 is 1098092.

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

1205806040464 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 2379488400 + 1203426552064 = 48780^2 + 1097008^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 1190331222 + ... + 1190332234.

Almost surely, 2^{1205806040464} is an apocalyptic number.

1205806040464 is the 1098092-nd square number.

It is an amenable number.

1205806040464 is a deficient number, since it is larger than the sum of its proper divisors (1141412914385).

1205806040464 is an frugal number, since it uses more digits than its factorization.

1205806040464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 1205806040464 in words is "one trillion, two hundred five billion, eight hundred six million, forty thousand, four hundred sixty-four".