1158709664 has 108 divisors (see below), whose sum is σ = 2820033846. Its totient is φ = 467195904.

The previous prime is 1158709637. The next prime is 1158709667. The reversal of 1158709664 is 4669078511.

It can be written as a sum of positive squares in 3 ways, for example, as 1138387600 + 20322064 = 33740^2 + 4508^2 .

It is not an unprimeable number, because it can be changed into a prime (1158709667) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451874 + ... + 454430.

Almost surely, 2^1158709664 is an apocalyptic number.

1158709664 is a gapful number since it is divisible by the number (14) 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 1158709664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410016923).

1158709664 is an abundant number, since it is smaller than the sum of its proper divisors (1661324182).

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

1158709664 is a wasteful number, since it uses less digits than its factorization.

1158709664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 1158709664 is about 34039.8246763993. The cubic root of 1158709664 is about 1050.3278383701.

The spelling of 1158709664 in words is "one billion, one hundred fifty-eight million, seven hundred nine thousand, six hundred sixty-four".