11448982944 has 288 divisors, whose sum is σ = 37970989056. Its totient is φ = 3204956160.

The previous prime is 11448982943. The next prime is 11448982949. The reversal of 11448982944 is 44928984411.

11448982944 is a `hidden beast` number, since 114 + 489 + 8 + 2 + 9 + 44 = 666.

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

It is a super-3 number, since 3×11448982944³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11448982943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24834874 + ... + 24835334.

It is an arithmetic number, because the mean of its divisors is an integer number (131843712).

Almost surely, 2^11448982944 is an apocalyptic number.

11448982944 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 11448982944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18985494528).

11448982944 is an abundant number, since it is smaller than the sum of its proper divisors (26522006112).

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

11448982944 is a wasteful number, since it uses less digits than its factorization.

11448982944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 11448982944 in words is "eleven billion, four hundred forty-eight million, nine hundred eighty-two thousand, nine hundred forty-four".