11145869362849 has 27 divisors (see below), whose sum is σ = 12255218977113. Its totient is φ = 10132291046592.

The previous prime is 11145869362819. The next prime is 11145869362877. The reversal of 11145869362849 is 94826396854111.

The square root of 11145869362849 is 3338543.

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 4533462831249 + 6612406531600 = 2129193^2 + 2571460^2 .

It is not a de Polignac number, because 11145869362849 - 2¹⁹ = 11145868838561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11145869362819) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2907869037 + ... + 2907872869.

Almost surely, 2^{11145869362849} is an apocalyptic number.

11145869362849 is the 3338543-rd square number.

11145869362849 is the 1669272-nd centered octagonal number.

It is an amenable number.

11145869362849 is a deficient number, since it is larger than the sum of its proper divisors (1109349614264).

11145869362849 is an frugal number, since it uses more digits than its factorization.

11145869362849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7826 (or 3913 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 67.

The spelling of 11145869362849 in words is "eleven trillion, one hundred forty-five billion, eight hundred sixty-nine million, three hundred sixty-two thousand, eight hundred forty-nine".