11127461566225 has 27 divisors (see below), whose sum is σ = 14029240810611. Its totient is φ = 8755234742400.

The previous prime is 11127461566211. The next prime is 11127461566253. The reversal of 11127461566225 is 52266516472111.

It is a happy number.

The square root of 11127461566225 is 3335785.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7433131546129 + 3694330020096 = 2726377^2 + 1922064^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11127461566225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1017408957 + ... + 1017419893.

Almost surely, 2^{11127461566225} is an apocalyptic number.

11127461566225 is the 3335785-th square number.

11127461566225 is the 1667893-rd centered octagonal number.

It is an amenable number.

11127461566225 is a deficient number, since it is larger than the sum of its proper divisors (2901779244386).

11127461566225 is an frugal number, since it uses more digits than its factorization.

11127461566225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22006 (or 11003 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 49.

Multiplying 11127461566225 by its sum of digits (49), we get a square (545245616745025 = 23350495²).

The spelling of 11127461566225 in words is "eleven trillion, one hundred twenty-seven billion, four hundred sixty-one million, five hundred sixty-six thousand, two hundred twenty-five".