11248511481 has 9 divisors (see below), whose sum is σ = 16248309519. Its totient is φ = 7498795536.

The previous prime is 11248511467. The next prime is 11248511489. The reversal of 11248511481 is 18411584211.

The square root of 11248511481 is 106059.

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

11248511481 is a `hidden beast` number, since 1 + 124 + 8 + 51 + 1 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11237060025 + 11451456 = 106005^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11248511481 - 2¹³ = 11248503289 is a prime.

It is a super-2 number, since 2×11248511481² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11248511489) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 300501 + ... + 335853.

Almost surely, 2^11248511481 is an apocalyptic number.

11248511481 is the 106059-th square number.

11248511481 is the 53030-th centered octagonal number.

It is an amenable number.

11248511481 is a deficient number, since it is larger than the sum of its proper divisors (4999798038).

11248511481 is an frugal number, since it uses more digits than its factorization.

11248511481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70712 (or 35356 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

Multiplying 11248511481 by its sum of digits (36), we get a square (404946413316 = 636354²).

It can be divided in two parts, 11248 and 511481, that added together give a square (522729 = 723²).

The spelling of 11248511481 in words is "eleven billion, two hundred forty-eight million, five hundred eleven thousand, four hundred eighty-one".