11388350363569 has 9 divisors (see below), whose sum is σ = 11409769004907. Its totient is φ = 11366971873464.

The previous prime is 11388350363539. The next prime is 11388350363581. The reversal of 11388350363569 is 96536305388311.

The square root of 11388350363569 is 3374663.

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., 193303553569 + 11195046810000 = 439663^2 + 3345900^2 .

It is not a de Polignac number, because 11388350363569 - 2⁷ = 11388350363441 is a prime.

It is a super-2 number, since 2×11388350363569² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11388350363539) 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, 1980924307 + ... + 1980930055.

Almost surely, 2^{11388350363569} is an apocalyptic number.

11388350363569 is the 3374663-rd square number.

11388350363569 is the 1687332-nd centered octagonal number.

It is an amenable number.

11388350363569 is a deficient number, since it is larger than the sum of its proper divisors (21418641338).

11388350363569 is an frugal number, since it uses more digits than its factorization.

11388350363569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12672 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 61.

The spelling of 11388350363569 in words is "eleven trillion, three hundred eighty-eight billion, three hundred fifty million, three hundred sixty-three thousand, five hundred sixty-nine".