11881654009 has 9 divisors (see below), whose sum is σ = 12542103567. Its totient is φ = 11254341744.

The previous prime is 11881653997. The next prime is 11881654027. The reversal of 11881654009 is 90045618811.

The square root of 11881654009 is 109003.

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., 103327225 + 11778326784 = 10165^2 + 108528^2 .

It is not a de Polignac number, because 11881654009 - 2⁵ = 11881653977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11881654049) 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, 2068189 + ... + 2073925.

It is an arithmetic number, because the mean of its divisors is an integer number (1393567063).

Almost surely, 2^11881654009 is an apocalyptic number.

11881654009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11881654009 is the 109003-rd square number.

11881654009 is the 54502-nd centered octagonal number.

It is an amenable number.

11881654009 is a deficient number, since it is larger than the sum of its proper divisors (660449558).

11881654009 is an frugal number, since it uses more digits than its factorization.

11881654009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11512 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 11881654009 in words is "eleven billion, eight hundred eighty-one million, six hundred fifty-four thousand, nine".