1159331616 has 84 divisors (see below), whose sum is σ = 3422154582. Its totient is φ = 386436096.

The previous prime is 1159331599. The next prime is 1159331617. The reversal of 1159331616 is 6161339511.

1159331616 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 3 + 31 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1157360400 + 1971216 = 34020^2 + 1404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1159331617) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1521 + ... + 48176.

Almost surely, 2^1159331616 is an apocalyptic number.

1159331616 is a gapful number since it is divisible by the number (16) 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 1159331616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711077291).

1159331616 is an abundant number, since it is smaller than the sum of its proper divisors (2262822966).

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

1159331616 is an frugal number, since it uses more digits than its factorization.

1159331616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49725 (or 49702 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 1159331616 is about 34048.9591030328. The cubic root of 1159331616 is about 1050.5157303198.

The spelling of 1159331616 in words is "one billion, one hundred fifty-nine million, three hundred thirty-one thousand, six hundred sixteen".