11404716890112 has 720 divisors, whose sum is σ = 42675271919280. Its totient is φ = 3007809552384.

The previous prime is 11404716890101. The next prime is 11404716890131. The reversal of 11404716890112 is 21109861740411.

11404716890112 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 471 + 68 + 9 + 0 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105616693 + ... + 105724619.

It is an arithmetic number, because the mean of its divisors is an integer number (59271210999).

Almost surely, 2^{11404716890112} is an apocalyptic number.

11404716890112 is a gapful number since it is divisible by the number (12) 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 11404716890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337635959640).

11404716890112 is an abundant number, since it is smaller than the sum of its proper divisors (31270555029168).

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

11404716890112 is a wasteful number, since it uses less digits than its factorization.

11404716890112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107988 (or 107952 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11404716890112 in words is "eleven trillion, four hundred four billion, seven hundred sixteen million, eight hundred ninety thousand, one hundred twelve".