11882381208889 has 9 divisors (see below), whose sum is σ = 12062611639407. Its totient is φ = 11704804728144.

The previous prime is 11882381208821. The next prime is 11882381208941. The reversal of 11882381208889 is 98880218328811.

The square root of 11882381208889 is 3447083.

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., 3659251448889 + 8223129760000 = 1912917^2 + 2867600^2 .

It is not a de Polignac number, because 11882381208889 - 2¹¹ = 11882381206841 is a prime.

It is a super-2 number, since 2×11882381208889² (a number of 27 digits) contains 22 as substring.

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 (11882381208389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 230928837 + ... + 230980285.

Almost surely, 2^{11882381208889} is an apocalyptic number.

11882381208889 is the 3447083-rd square number.

11882381208889 is the 1723542-nd centered octagonal number.

It is an amenable number.

11882381208889 is a deficient number, since it is larger than the sum of its proper divisors (180230430518).

11882381208889 is an frugal number, since it uses more digits than its factorization.

11882381208889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103032 (or 51516 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 67.

The spelling of 11882381208889 in words is "eleven trillion, eight hundred eighty-two billion, three hundred eighty-one million, two hundred eight thousand, eight hundred eighty-nine".