1153188864 has 132 divisors (see below), whose sum is σ = 3355221324. Its totient is φ = 381468672.

The previous prime is 1153188853. The next prime is 1153188889. The reversal of 1153188864 is 4688813511.

It can be written as a sum of positive squares in 2 ways, for example, as 446054400 + 707134464 = 21120^2 + 26592^2 .

It is a super-2 number, since 2×1153188864² = 2659689112107220992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446514 + ... + 1447310.

Almost surely, 2^1153188864 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 1153188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677610662).

1153188864 is an abundant number, since it is smaller than the sum of its proper divisors (2202032460).

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

1153188864 is a wasteful number, since it uses less digits than its factorization.

1153188864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 959 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 1153188864 is about 33958.6346015266. The cubic root of 1153188864 is about 1048.6570477193.

The spelling of 1153188864 in words is "one billion, one hundred fifty-three million, one hundred eighty-eight thousand, eight hundred sixty-four".