11108273651328 has 384 divisors, whose sum is σ = 34633772881920. Its totient is φ = 3145181405184.

The previous prime is 11108273651327. The next prime is 11108273651333. The reversal of 11108273651328 is 82315637280111.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (11108273651327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2611865650 + ... + 2611869902.

It is an arithmetic number, because the mean of its divisors is an integer number (90192116880).

Almost surely, 2^{11108273651328} 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 11108273651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316886440960).

11108273651328 is an abundant number, since it is smaller than the sum of its proper divisors (23525499230592).

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

11108273651328 is a wasteful number, since it uses less digits than its factorization.

11108273651328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 11108273651328 in words is "eleven trillion, one hundred eight billion, two hundred seventy-three million, six hundred fifty-one thousand, three hundred twenty-eight".