1149181824 has 64 divisors (see below), whose sum is σ = 3488595840. Its totient is φ = 328336896.

The previous prime is 1149181757. The next prime is 1149181829. The reversal of 1149181824 is 4281819411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1149181824² = 2641237729223933952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149181829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211074 + ... + 216449.

It is an arithmetic number, because the mean of its divisors is an integer number (54509310).

Almost surely, 2^1149181824 is an apocalyptic number.

1149181824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1149181824 is an abundant number, since it is smaller than the sum of its proper divisors (2339414016).

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

1149181824 is an equidigital number, since it uses as much as digits as its factorization.

1149181824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427547 (or 427535 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The square root of 1149181824 is about 33899.5844222315. The cubic root of 1149181824 is about 1047.4410320661.

The spelling of 1149181824 in words is "one billion, one hundred forty-nine million, one hundred eighty-one thousand, eight hundred twenty-four".