11385988221969 has 81 divisors (see below), whose sum is σ = 17661621685617. Its totient is φ = 7066945191168.

The previous prime is 11385988221929. The next prime is 11385988221977. The reversal of 11385988221969 is 96912288958311.

The square root of 11385988221969 is 3374313.

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

11385988221969 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 598 + 8 + 2 + 21 + 9 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2597206212225 + 8788782009744 = 1611585^2 + 2964588^2 .

It is not a de Polignac number, because 11385988221969 - 2²¹ = 11385986124817 is a prime.

It is a super-2 number, since 2×11385988221969² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11385988221897 and 11385988221906.

It is not an unprimeable number, because it can be changed into a prime (11385988221929) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18757805664 + ... + 18757806270.

Almost surely, 2^{11385988221969} is an apocalyptic number.

11385988221969 is the 3374313-rd square number.

11385988221969 is the 1687157-th centered octagonal number.

It is an amenable number.

11385988221969 is a deficient number, since it is larger than the sum of its proper divisors (6275633463648).

11385988221969 is an frugal number, since it uses more digits than its factorization.

11385988221969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 736 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 72.

The spelling of 11385988221969 in words is "eleven trillion, three hundred eighty-five billion, nine hundred eighty-eight million, two hundred twenty-one thousand, nine hundred sixty-nine".