11333619080448 has 576 divisors, whose sum is σ = 38078130585600. Its totient is φ = 2917864857600.

The previous prime is 11333619080419. The next prime is 11333619080489. The reversal of 11333619080448 is 84408091633311.

It is a self number, because there is not a number n which added to its sum of digits gives 11333619080448.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 420513373 + ... + 420540323.

It is an arithmetic number, because the mean of its divisors is an integer number (66107865600).

Almost surely, 2^{11333619080448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11333619080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039065292800).

11333619080448 is an abundant number, since it is smaller than the sum of its proper divisors (26744511505152).

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

11333619080448 is a wasteful number, since it uses less digits than its factorization.

11333619080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27198 (or 27184 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 11333619080448 in words is "eleven trillion, three hundred thirty-three billion, six hundred nineteen million, eighty thousand, four hundred forty-eight".