1149146880 has 144 divisors (see below), whose sum is σ = 4194484224. Its totient is φ = 262656000.

The previous prime is 1149146863. The next prime is 1149146881. The reversal of 1149146880 is 886419411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149146881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5505 + ... + 48255.

Almost surely, 2^1149146880 is an apocalyptic number.

1149146880 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 1149146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097242112).

1149146880 is an abundant number, since it is smaller than the sum of its proper divisors (3045337344).

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

1149146880 is an equidigital number, since it uses as much as digits as its factorization.

1149146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42782 (or 42768 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1149146880 is about 33899.0690137650. The cubic root of 1149146880 is about 1047.4304151937.

The spelling of 1149146880 in words is "one billion, one hundred forty-nine million, one hundred forty-six thousand, eight hundred eighty".