11013772326336 has 336 divisors, whose sum is σ = 35586105819264. Its totient is φ = 3357174905856.

The previous prime is 11013772326313. The next prime is 11013772326397. The reversal of 11013772326336 is 63362327731011.

11013772326336 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 3 + 7 + 7 + 2 + 3 + 2 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11013772326291 and 11013772326300.

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, 21378271 + ... + 21887393.

It is an arithmetic number, because the mean of its divisors is an integer number (105911029224).

Almost surely, 2^{11013772326336} is an apocalyptic number.

11013772326336 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 11013772326336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17793052909632).

11013772326336 is an abundant number, since it is smaller than the sum of its proper divisors (24572333492928).

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

11013772326336 is a wasteful number, since it uses less digits than its factorization.

11013772326336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509270 (or 509248 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 11013772326336 in words is "eleven trillion, thirteen billion, seven hundred seventy-two million, three hundred twenty-six thousand, three hundred thirty-six".