11264134944 has 72 divisors (see below), whose sum is σ = 30137495472. Its totient is φ = 3683779840.

The previous prime is 11264134901. The next prime is 11264134957. The reversal of 11264134944 is 44943146211.

It is a super-3 number, since 3×11264134944³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248779 + ... + 290549.

It is an arithmetic number, because the mean of its divisors is an integer number (418576326).

Almost surely, 2^11264134944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264134944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068747736).

11264134944 is an abundant number, since it is smaller than the sum of its proper divisors (18873360528).

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

11264134944 is an equidigital number, since it uses as much as digits as its factorization.

11264134944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41890 (or 41829 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The spelling of 11264134944 in words is "eleven billion, two hundred sixty-four million, one hundred thirty-four thousand, nine hundred forty-four".