11283296496480 has 192 divisors, whose sum is σ = 39935264241600. Its totient is φ = 2975071334400.

The previous prime is 11283296496467. The next prime is 11283296496487. The reversal of 11283296496480 is 8469469238211.

11283296496480 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 3 + 2 + 9 + 64 + 96 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11283296496487) 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, 14288971 + ... + 15057930.

It is an arithmetic number, because the mean of its divisors is an integer number (207996167925).

Almost surely, 2^{11283296496480} is an apocalyptic number.

11283296496480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11283296496480 is an abundant number, since it is smaller than the sum of its proper divisors (28651967745120).

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

11283296496480 is a wasteful number, since it uses less digits than its factorization.

11283296496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29347014 (or 29347000 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 11283296496480 in words is "eleven trillion, two hundred eighty-three billion, two hundred ninety-six million, four hundred ninety-six thousand, four hundred eighty".