11606456580625 has 15 divisors (see below), whose sum is σ = 14503534573143. Its totient is φ = 9285097128000.

The previous prime is 11606456580617. The next prime is 11606456580643. The reversal of 11606456580625 is 52608565460611.

The square root of 11606456580625 is 3406825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6867371401489 + 4739085179136 = 2620567^2 + 2176944^2 .

It is not a de Polignac number, because 11606456580625 - 2³ = 11606456580617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 85102489 + ... + 85238761.

Almost surely, 2^{11606456580625} is an apocalyptic number.

11606456580625 is the 3406825-th square number.

11606456580625 is the 1703413-rd centered octagonal number.

It is an amenable number.

11606456580625 is a deficient number, since it is larger than the sum of its proper divisors (2897077992518).

11606456580625 is an frugal number, since it uses more digits than its factorization.

11606456580625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272566 (or 136278 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 55.

It can be divided in two parts, 11606456 and 580625, that added together give a square (12187081 = 3491²).

The spelling of 11606456580625 in words is "eleven trillion, six hundred six billion, four hundred fifty-six million, five hundred eighty thousand, six hundred twenty-five".