11824742808144 has 120 divisors (see below), whose sum is σ = 39464773176192. Its totient is φ = 3231606723840.

The previous prime is 11824742808097. The next prime is 11824742808181. The reversal of 11824742808144 is 44180824742811.

11824742808144 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 474 + 28 + 0 + 8 + 144 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 254996287 + ... + 255042654.

Almost surely, 2^{11824742808144} is an apocalyptic number.

11824742808144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11824742808144 is an abundant number, since it is smaller than the sum of its proper divisors (27640030368048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11824742808144 is a wasteful number, since it uses less digits than its factorization.

11824742808144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510038985 (or 510038976 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 11824742808144 in words is "eleven trillion, eight hundred twenty-four billion, seven hundred forty-two million, eight hundred eight thousand, one hundred forty-four".