11283946574208 has 512 divisors, whose sum is σ = 38417453383680. Its totient is φ = 2849485824000.

The previous prime is 11283946574191. The next prime is 11283946574227. The reversal of 11283946574208 is 80247564938211.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 209817210 + ... + 209870982.

It is an arithmetic number, because the mean of its divisors is an integer number (75034088640).

It is a 1-persistent number, because it is pandigital, but 2⋅11283946574208 = 22567893148416 is not.

Almost surely, 2^{11283946574208} 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 11283946574208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208726691840).

11283946574208 is an abundant number, since it is smaller than the sum of its proper divisors (27133506809472).

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

11283946574208 is a wasteful number, since it uses less digits than its factorization.

11283946574208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54006 (or 53994 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 11283946574208 in words is "eleven trillion, two hundred eighty-three billion, nine hundred forty-six million, five hundred seventy-four thousand, two hundred eight".