11448729600 has 720 divisors, whose sum is σ = 47587120896. Its totient is φ = 2378956800.

The previous prime is 11448729541. The next prime is 11448729601. The reversal of 11448729600 is 692784411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11448729601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040793595 + ... + 1040793605.

Almost surely, 2^11448729600 is an apocalyptic number.

11448729600 is a gapful number since it is divisible by the number (10) 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 11448729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23793560448).

11448729600 is an abundant number, since it is smaller than the sum of its proper divisors (36138391296).

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

11448729600 is an frugal number, since it uses more digits than its factorization.

11448729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 11448729600 in words is "eleven billion, four hundred forty-eight million, seven hundred twenty-nine thousand, six hundred".