1141985037769 has 9 divisors (see below), whose sum is σ = 1213131432181. Its totient is φ = 1074792349120.

The previous prime is 1141985037727. The next prime is 1141985037779. The reversal of 1141985037769 is 9677305891411.

The square root of 1141985037769 is 1068637.

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

It can be written as a sum of positive squares in 4 ways, for example, as 732881527225 + 409103510544 = 856085^2 + 639612^2 .

It is not a de Polignac number, because 1141985037769 - 2¹¹ = 1141985035721 is a prime.

It is a super-2 number, since 2×1141985037769² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1141985037709) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18135399 + ... + 18198259.

Almost surely, 2^{1141985037769} is an apocalyptic number.

1141985037769 is the 1068637-th square number.

1141985037769 is the 534319-th centered octagonal number.

It is an amenable number.

1141985037769 is a deficient number, since it is larger than the sum of its proper divisors (71146394412).

1141985037769 is an frugal number, since it uses more digits than its factorization.

1141985037769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125756 (or 62878 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 61.

The spelling of 1141985037769 in words is "one trillion, one hundred forty-one billion, nine hundred eighty-five million, thirty-seven thousand, seven hundred sixty-nine".