1149104880 has 800 divisors, whose sum is σ = 5185382400. Its totient is φ = 233694720.

The previous prime is 1149104843. The next prime is 1149104897. The reversal of 1149104880 is 884019411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 24449017 + ... + 24449063.

It is an arithmetic number, because the mean of its divisors is an integer number (6481728).

Almost surely, 2^1149104880 is an apocalyptic number.

1149104880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149104880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592691200).

1149104880 is an abundant number, since it is smaller than the sum of its proper divisors (4036277520).

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

1149104880 is a wasteful number, since it uses less digits than its factorization.

1149104880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1149104880 is about 33898.4495220652. The cubic root of 1149104880 is about 1047.4176542449.

The spelling of 1149104880 in words is "one billion, one hundred forty-nine million, one hundred four thousand, eight hundred eighty".