1159808379136 has 243 divisors, whose sum is σ = 2648004513609. Its totient is φ = 506594457600.

The previous prime is 1159808379077. The next prime is 1159808379161. The reversal of 1159808379136 is 6319738089511.

The square root of 1159808379136 is 1076944.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 608175380736 + 551632998400 = 779856^2 + 742720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5496722071 + ... + 5496722281.

Almost surely, 2^{1159808379136} is an apocalyptic number.

1159808379136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1159808379136 is the 1076944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1159808379136

1159808379136 is an abundant number, since it is smaller than the sum of its proper divisors (1488196134473).

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

1159808379136 is an frugal number, since it uses more digits than its factorization.

1159808379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 61.

The spelling of 1159808379136 in words is "one trillion, one hundred fifty-nine billion, eight hundred eight million, three hundred seventy-nine thousand, one hundred thirty-six".