11922349824 has 864 divisors, whose sum is σ = 47140853760. Its totient is φ = 2911334400.

The previous prime is 11922349823. The next prime is 11922349847. The reversal of 11922349824 is 42894322911.

11922349824 is a `hidden beast` number, since 119 + 2 + 23 + 498 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11922349824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11922349823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91010239 + ... + 91010369.

Almost surely, 2^11922349824 is an apocalyptic number.

11922349824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11922349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23570426880).

11922349824 is an abundant number, since it is smaller than the sum of its proper divisors (35218503936).

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

11922349824 is a wasteful number, since it uses less digits than its factorization.

11922349824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 11922349824 in words is "eleven billion, nine hundred twenty-two million, three hundred forty-nine thousand, eight hundred twenty-four".