11451524448 has 192 divisors, whose sum is σ = 37080916992. Its totient is φ = 3013355520.

The previous prime is 11451524429. The next prime is 11451524509. The reversal of 11451524448 is 84442515411.

It is a super-2 number, since 2×11451524448² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4724965 + ... + 4727387.

It is an arithmetic number, because the mean of its divisors is an integer number (193129776).

Almost surely, 2^11451524448 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 11451524448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540458496).

11451524448 is an abundant number, since it is smaller than the sum of its proper divisors (25629392544).

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

11451524448 is a wasteful number, since it uses less digits than its factorization.

11451524448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2989 counting only the distinct ones).

The product of its digits is 102400, while the sum is 39.

The spelling of 11451524448 in words is "eleven billion, four hundred fifty-one million, five hundred twenty-four thousand, four hundred forty-eight".