11448537408 has 1120 divisors, whose sum is σ = 46735349760. Its totient is φ = 2682408960.

The previous prime is 11448537407. The next prime is 11448537421. The reversal of 11448537408 is 80473584411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11448537403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 266245035 + ... + 266245077.

Almost surely, 2^11448537408 is an apocalyptic number.

11448537408 is a gapful number since it is divisible by the number (18) 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 11448537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23367674880).

11448537408 is an abundant number, since it is smaller than the sum of its proper divisors (35286812352).

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

11448537408 is a wasteful number, since it uses less digits than its factorization.

11448537408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 11448537408 in words is "eleven billion, four hundred forty-eight million, five hundred thirty-seven thousand, four hundred eight".