11445466112256 has 288 divisors, whose sum is σ = 33594121774080. Its totient is φ = 3430480896000.

The previous prime is 11445466112237. The next prime is 11445466112257. The reversal of 11445466112256 is 65221166454411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11445466112257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906996315 + ... + 907008933.

It is an arithmetic number, because the mean of its divisors is an integer number (116646256160).

Almost surely, 2^{11445466112256} is an apocalyptic number.

11445466112256 is a gapful number since it is divisible by the number (16) 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 11445466112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797060887040).

11445466112256 is an abundant number, since it is smaller than the sum of its proper divisors (22148655661824).

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

11445466112256 is a wasteful number, since it uses less digits than its factorization.

11445466112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813 (or 13799 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The spelling of 11445466112256 in words is "eleven trillion, four hundred forty-five billion, four hundred sixty-six million, one hundred twelve thousand, two hundred fifty-six".