11655252612441 has 45 divisors (see below), whose sum is σ = 17543521117551. Its totient is φ = 7711441141536.

The previous prime is 11655252612403. The next prime is 11655252612449. The reversal of 11655252612441 is 14421625255611.

The square root of 11655252612441 is 3413979.

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

11655252612441 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 5 + 25 + 2 + 612 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11232076342041 + 423176270400 = 3351429^2 + 650520^2 .

It is not a de Polignac number, because 11655252612441 - 2⁹ = 11655252611929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11655252612449) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4270886365 + ... + 4270889093.

Almost surely, 2^{11655252612441} is an apocalyptic number.

11655252612441 is the 3413979-th square number.

11655252612441 is the 1706990-th centered octagonal number.

It is an amenable number.

11655252612441 is a deficient number, since it is larger than the sum of its proper divisors (5888268505110).

11655252612441 is an frugal number, since it uses more digits than its factorization.

11655252612441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 2871 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 11655252612441 in words is "eleven trillion, six hundred fifty-five billion, two hundred fifty-two million, six hundred twelve thousand, four hundred forty-one".