11352844496448 has 2688 divisors, whose sum is σ = 46761848340480. Its totient is φ = 2545491640320.

The previous prime is 11352844496437. The next prime is 11352844496501. The reversal of 11352844496448 is 84469444825311.

It is a happy number.

11352844496448 is a `hidden beast` number, since 1 + 1 + 3 + 52 + 84 + 449 + 64 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50909616465 + ... + 50909616687.

It is an arithmetic number, because the mean of its divisors is an integer number (17396520960).

Almost surely, 2^{11352844496448} is an apocalyptic number.

11352844496448 is a gapful number since it is divisible by the number (18) 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 11352844496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23380924170240).

11352844496448 is an abundant number, since it is smaller than the sum of its proper divisors (35409003844032).

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

11352844496448 is a wasteful number, since it uses less digits than its factorization.

11352844496448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 11352844496448 in words is "eleven trillion, three hundred fifty-two billion, eight hundred forty-four million, four hundred ninety-six thousand, four hundred forty-eight".