1149886080 has 576 divisors, whose sum is σ = 4849977600. Its totient is φ = 245846016.

The previous prime is 1149886021. The next prime is 1149886147. The reversal of 1149886080 is 806889411.

1149886080 is a `hidden beast` number, since 1 + 1 + 498 + 86 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14555481 + ... + 14555559.

It is an arithmetic number, because the mean of its divisors is an integer number (8420100).

Almost surely, 2^1149886080 is an apocalyptic number.

1149886080 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 1149886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424988800).

1149886080 is an abundant number, since it is smaller than the sum of its proper divisors (3700091520).

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

1149886080 is a wasteful number, since it uses less digits than its factorization.

1149886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1149886080 is about 33909.9702152626. The cubic root of 1149886080 is about 1047.6549570165.

The spelling of 1149886080 in words is "one billion, one hundred forty-nine million, eight hundred eighty-six thousand, eighty".