11283632023296 has 144 divisors (see below), whose sum is σ = 31238114412960. Its totient is φ = 3611448852480.

The previous prime is 11283632023291. The next prime is 11283632023343. The reversal of 11283632023296 is 69232023638211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11283632023291) 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 15 ways as a sum of consecutive naturals, for example, 2631706 + ... + 5430758.

It is an arithmetic number, because the mean of its divisors is an integer number (216931350090).

Almost surely, 2^{11283632023296} is an apocalyptic number.

11283632023296 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 11283632023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619057206480).

11283632023296 is an abundant number, since it is smaller than the sum of its proper divisors (19954482389664).

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

11283632023296 is a wasteful number, since it uses less digits than its factorization.

11283632023296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799282 (or 2799268 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 11283632023296 in words is "eleven trillion, two hundred eighty-three billion, six hundred thirty-two million, twenty-three thousand, two hundred ninety-six".