11448481332672 has 784 divisors, whose sum is σ = 37207122537600. Its totient is φ = 3479694059520.

The previous prime is 11448481332601. The next prime is 11448481332707. The reversal of 11448481332672 is 27623318484411.

11448481332672 is a `hidden beast` number, since 1 + 1 + 4 + 48 + 481 + 33 + 26 + 72 = 666.

11448481332672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12622360443 + ... + 12622361349.

Almost surely, 2^{11448481332672} is an apocalyptic number.

11448481332672 is a gapful number since it is divisible by the number (12) 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 11448481332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18603561268800).

11448481332672 is an abundant number, since it is smaller than the sum of its proper divisors (25758641204928).

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

11448481332672 is an equidigital number, since it uses as much as digits as its factorization.

11448481332672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1451 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 11448481332672 in words is "eleven trillion, four hundred forty-eight billion, four hundred eighty-one million, three hundred thirty-two thousand, six hundred seventy-two".