11246425344 has 864 divisors, whose sum is σ = 44627224320. Its totient is φ = 2724986880.

The previous prime is 11246425283. The next prime is 11246425357. The reversal of 11246425344 is 44352464211.

11246425344 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 642 + 5 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11246425299 and 11246425308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99525832 + ... + 99525944.

It is an arithmetic number, because the mean of its divisors is an integer number (51651880).

Almost surely, 2^11246425344 is an apocalyptic number.

11246425344 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 11246425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22313612160).

11246425344 is an abundant number, since it is smaller than the sum of its proper divisors (33380798976).

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

11246425344 is a wasteful number, since it uses less digits than its factorization.

11246425344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 11246425344 its reverse (44352464211), we get a palindrome (55598889555).

The spelling of 11246425344 in words is "eleven billion, two hundred forty-six million, four hundred twenty-five thousand, three hundred forty-four".