11264461909344 has 288 divisors, whose sum is σ = 38768027590656. Its totient is φ = 3028706242560.

The previous prime is 11264461909303. The next prime is 11264461909357. The reversal of 11264461909344 is 44390916446211.

11264461909344 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 4 + 461 + 90 + 93 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×11264461909344⁴ (a number of 53 digits) contains 4444 as substring.

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 47 ways as a sum of consecutive naturals, for example, 346507939 + ... + 346540445.

It is an arithmetic number, because the mean of its divisors is an integer number (134611206912).

Almost surely, 2^{11264461909344} is an apocalyptic number.

11264461909344 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 11264461909344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19384013795328).

11264461909344 is an abundant number, since it is smaller than the sum of its proper divisors (27503565681312).

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

11264461909344 is a wasteful number, since it uses less digits than its factorization.

11264461909344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42658 (or 42647 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 11264461909344 in words is "eleven trillion, two hundred sixty-four billion, four hundred sixty-one million, nine hundred nine thousand, three hundred forty-four".