11541088222829 has 16 divisors (see below), whose sum is σ = 12761508572736. Its totient is φ = 10349910950400.

The previous prime is 11541088222801. The next prime is 11541088222847. The reversal of 11541088222829 is 92822288014511.

It is a cyclic number.

It is not a de Polignac number, because 11541088222829 - 2³⁶ = 11472368746093 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11541088222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17288702 + ... + 17943839.

It is an arithmetic number, because the mean of its divisors is an integer number (797594285796).

Almost surely, 2^{11541088222829} is an apocalyptic number.

It is an amenable number.

11541088222829 is a deficient number, since it is larger than the sum of its proper divisors (1220420349907).

11541088222829 is a wasteful number, since it uses less digits than its factorization.

11541088222829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35232956.

The product of its (nonzero) digits is 1474560, while the sum is 53.

The spelling of 11541088222829 in words is "eleven trillion, five hundred forty-one billion, eighty-eight million, two hundred twenty-two thousand, eight hundred twenty-nine".