11183723822016 has 448 divisors, whose sum is σ = 35898796172800. Its totient is φ = 3402283917312.

The previous prime is 11183723822003. The next prime is 11183723822017. The reversal of 11183723822016 is 61022832738111.

11183723822016 is a `hidden beast` number, since 1 + 1 + 18 + 372 + 38 + 220 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11183723822017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103005390 + ... + 103113906.

Almost surely, 2^{11183723822016} is an apocalyptic number.

11183723822016 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 11183723822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17949398086400).

11183723822016 is an abundant number, since it is smaller than the sum of its proper divisors (24715072350784).

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

11183723822016 is a wasteful number, since it uses less digits than its factorization.

11183723822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108673 (or 108657 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11183723822016 in words is "eleven trillion, one hundred eighty-three billion, seven hundred twenty-three million, eight hundred twenty-two thousand, sixteen".