1129766544 has 45 divisors (see below), whose sum is σ = 3162906409. Its totient is φ = 376454400.

The previous prime is 1129766531. The next prime is 1129766549. The reversal of 1129766544 is 4456679211.

The square root of 1129766544 is 33612.

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

1129766544 is a `hidden beast` number, since 1 + 12 + 97 + 6 + 6 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 576576144 + 553190400 = 24012^2 + 23520^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1129766544.

It is not an unprimeable number, because it can be changed into a prime (1129766549) 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, 401944 + ... + 404744.

Almost surely, 2^1129766544 is an apocalyptic number.

1129766544 is the 33612-nd square number.

It is an amenable number.

1129766544 is an abundant number, since it is smaller than the sum of its proper divisors (2033139865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1129766544 is an frugal number, since it uses more digits than its factorization.

1129766544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616 (or 2806 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The cubic root of 1129766544 is about 1041.5087028080.

It can be divided in two parts, 11297 and 66544, that added together give a square (77841 = 279²).

The spelling of 1129766544 in words is "one billion, one hundred twenty-nine million, seven hundred sixty-six thousand, five hundred forty-four".