11021673312 has 288 divisors, whose sum is σ = 34806739968. Its totient is φ = 3286821888.

The previous prime is 11021673293. The next prime is 11021673361. The reversal of 11021673312 is 21337612011.

11021673312 is a `hidden beast` number, since 110 + 216 + 7 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35901063 + ... + 35901369.

It is an arithmetic number, because the mean of its divisors is an integer number (120856736).

Almost surely, 2^11021673312 is an apocalyptic number.

11021673312 is a gapful number since it is divisible by the number (12) 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 11021673312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403369984).

11021673312 is an abundant number, since it is smaller than the sum of its proper divisors (23785066656).

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

11021673312 is a wasteful number, since it uses less digits than its factorization.

11021673312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 11021673312 in words is "eleven billion, twenty-one million, six hundred seventy-three thousand, three hundred twelve".