1149050880 has 224 divisors, whose sum is σ = 4089196800. Its totient is φ = 306118656.

The previous prime is 1149050863. The next prime is 1149050891. The reversal of 1149050880 is 880509411.

1149050880 is a `hidden beast` number, since 1 + 149 + 0 + 508 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105401 + ... + 1106439.

Almost surely, 2^1149050880 is an apocalyptic number.

1149050880 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 1149050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044598400).

1149050880 is an abundant number, since it is smaller than the sum of its proper divisors (2940145920).

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

1149050880 is an equidigital number, since it uses as much as digits as its factorization.

1149050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1149050880 is about 33897.6530161013. The cubic root of 1149050880 is about 1047.4012468539.

The spelling of 1149050880 in words is "one billion, one hundred forty-nine million, fifty thousand, eight hundred eighty".