11824167641 has 48 divisors (see below), whose sum is σ = 14902688448. Its totient is φ = 9267148800.

The previous prime is 11824167629. The next prime is 11824167661. The reversal of 11824167641 is 14676142811.

11824167641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11824167641 - 2¹⁴ = 11824151257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11824167611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4328246 + ... + 4330976.

It is an arithmetic number, because the mean of its divisors is an integer number (310472676).

Almost surely, 2^11824167641 is an apocalyptic number.

11824167641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11824167641 is a deficient number, since it is larger than the sum of its proper divisors (3078520807).

11824167641 is a wasteful number, since it uses less digits than its factorization.

11824167641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2909 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The spelling of 11824167641 in words is "eleven billion, eight hundred twenty-four million, one hundred sixty-seven thousand, six hundred forty-one".