11922504438096 has 1080 divisors, whose sum is σ = 43428101539680. Its totient is φ = 3150983130624.

The previous prime is 11922504437999. The next prime is 11922504438101. The reversal of 11922504438096 is 69083440522911.

It is a happy number.

11922504438096 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 2 + 504 + 43 + 8 + 0 + 96 = 666.

It is a super-3 number, since 3×11922504438096³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4202502790 + ... + 4202505626.

Almost surely, 2^{11922504438096} is an apocalyptic number.

11922504438096 is a gapful number since it is divisible by the number (16) 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 11922504438096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21714050769840).

11922504438096 is an abundant number, since it is smaller than the sum of its proper divisors (31505597101584).

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

11922504438096 is an equidigital number, since it uses as much as digits as its factorization.

11922504438096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 11922504438096 in words is "eleven trillion, nine hundred twenty-two billion, five hundred four million, four hundred thirty-eight thousand, ninety-six".