11446984299520 has 1056 divisors, whose sum is σ = 36114006162816. Its totient is φ = 3440502374400.

The previous prime is 11446984299433. The next prime is 11446984299529. The reversal of 11446984299520 is 2599248964411.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11446984299529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8922044799 + ... + 8922046081.

Almost surely, 2^{11446984299520} is an apocalyptic number.

11446984299520 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 11446984299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057003081408).

11446984299520 is an abundant number, since it is smaller than the sum of its proper divisors (24667021863296).

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

11446984299520 is a wasteful number, since it uses less digits than its factorization.

11446984299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 64.

The spelling of 11446984299520 in words is "eleven trillion, four hundred forty-six billion, nine hundred eighty-four million, two hundred ninety-nine thousand, five hundred twenty".