11404523136384 has 512 divisors, whose sum is σ = 40719659904000. Its totient is φ = 3072902676480.

The previous prime is 11404523136373. The next prime is 11404523136403. The reversal of 11404523136384 is 48363132540411.

11404523136384 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 5 + 2 + 3 + 1 + 3 + 638 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29978404 + ... + 30356444.

It is an arithmetic number, because the mean of its divisors is an integer number (79530585750).

Almost surely, 2^{11404523136384} is an apocalyptic number.

11404523136384 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 11404523136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20359829952000).

11404523136384 is an abundant number, since it is smaller than the sum of its proper divisors (29315136767616).

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

11404523136384 is a wasteful number, since it uses less digits than its factorization.

11404523136384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378143 (or 378125 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 11404523136384 its reverse (48363132540411), we get a palindrome (59767655676795).

The spelling of 11404523136384 in words is "eleven trillion, four hundred four billion, five hundred twenty-three million, one hundred thirty-six thousand, three hundred eighty-four".