1152529664 has 144 divisors (see below), whose sum is σ = 2846719680. Its totient is φ = 457850880.

The previous prime is 1152529663. The next prime is 1152529681. The reversal of 1152529664 is 4669252511.

It is a super-4 number, since 4×1152529664⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152529661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694724 + ... + 696380.

Almost surely, 2^1152529664 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 1152529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423359840).

1152529664 is an abundant number, since it is smaller than the sum of its proper divisors (1694190016).

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

1152529664 is a wasteful number, since it uses less digits than its factorization.

1152529664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1702 counting only the distinct ones).

The product of its digits is 129600, while the sum is 41.

The square root of 1152529664 is about 33948.9272879129. The cubic root of 1152529664 is about 1048.4571942210.

The spelling of 1152529664 in words is "one billion, one hundred fifty-two million, five hundred twenty-nine thousand, six hundred sixty-four".