1149108064 has 144 divisors (see below), whose sum is σ = 2689485120. Its totient is φ = 480829440.

The previous prime is 1149108053. The next prime is 1149108097. The reversal of 1149108064 is 4608019411.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2665929 + ... + 2666359.

It is an arithmetic number, because the mean of its divisors is an integer number (18676980).

Almost surely, 2^1149108064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149108064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344742560).

1149108064 is an abundant number, since it is smaller than the sum of its proper divisors (1540377056).

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

1149108064 is a wasteful number, since it uses less digits than its factorization.

1149108064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1149108064 is about 33898.4964858325. The cubic root of 1149108064 is about 1047.4186216573.

The spelling of 1149108064 in words is "one billion, one hundred forty-nine million, one hundred eight thousand, sixty-four".