11284215549696 has 576 divisors, whose sum is σ = 36136925798400. Its totient is φ = 3464913715200.

The previous prime is 11284215549661. The next prime is 11284215549703. The reversal of 11284215549696 is 69694551248211.

It is a happy number.

11284215549696 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 4 + 2 + 1 + 55 + 496 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 441173260 + ... + 441198836.

It is an arithmetic number, because the mean of its divisors is an integer number (62737718400).

Almost surely, 2^{11284215549696} is an apocalyptic number.

11284215549696 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 11284215549696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068462899200).

11284215549696 is an abundant number, since it is smaller than the sum of its proper divisors (24852710248704).

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

11284215549696 is a wasteful number, since it uses less digits than its factorization.

11284215549696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25733 (or 25713 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 11284215549696 in words is "eleven trillion, two hundred eighty-four billion, two hundred fifteen million, five hundred forty-nine thousand, six hundred ninety-six".