1188801441 has 21 divisors (see below), whose sum is σ = 1783783651. Its totient is φ = 791913672.

The previous prime is 1188801433. The next prime is 1188801457. The reversal of 1188801441 is 1441088811.

The square root of 1188801441 is 34479.

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

It can be written as a sum of positive squares in only one way, i.e., 780923025 + 407878416 = 27945^2 + 20196^2 .

It is not a de Polignac number, because 1188801441 - 2³ = 1188801433 is a prime.

It is a super-2 number, since 2×1188801441² = 2826497732247352962, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1188801396 and 1188801405.

It is not an unprimeable number, because it can be changed into a prime (1188801421) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 930295 + ... + 931571.

Almost surely, 2^1188801441 is an apocalyptic number.

1188801441 is the 34479-th square number.

1188801441 is the 17240-th centered octagonal number.

It is an amenable number.

1188801441 is a deficient number, since it is larger than the sum of its proper divisors (594982210).

1188801441 is an frugal number, since it uses more digits than its factorization.

1188801441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The cubic root of 1188801441 is about 1059.3426091749.

Multiplying 1188801441 by its sum of digits (36), we get a square (42796851876 = 206874²).

The spelling of 1188801441 in words is "one billion, one hundred eighty-eight million, eight hundred one thousand, four hundred forty-one".