11444213310432 has 96 divisors (see below), whose sum is σ = 34410141142272. Its totient is φ = 3262394164224.

The previous prime is 11444213310427. The next prime is 11444213310451. The reversal of 11444213310432 is 23401331244411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11444213310393 and 11444213310402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18923613 + ... + 19519004.

It is an arithmetic number, because the mean of its divisors is an integer number (358438970232).

Almost surely, 2^{11444213310432} is an apocalyptic number.

11444213310432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11444213310432 is an abundant number, since it is smaller than the sum of its proper divisors (22965927831840).

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

11444213310432 is a wasteful number, since it uses less digits than its factorization.

11444213310432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38443080 (or 38443072 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 11444213310432 its reverse (23401331244411), we get a palindrome (34845544554843).

The spelling of 11444213310432 in words is "eleven trillion, four hundred forty-four billion, two hundred thirteen million, three hundred ten thousand, four hundred thirty-two".