11100236653968 has 480 divisors, whose sum is σ = 37794103689216. Its totient is φ = 2744413056000.

The previous prime is 11100236653963. The next prime is 11100236654053. The reversal of 11100236653968 is 86935663200111.

It is a self number, because there is not a number n which added to its sum of digits gives 11100236653968.

It is not an unprimeable number, because it can be changed into a prime (11100236653963) 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 95 ways as a sum of consecutive naturals, for example, 76808305 + ... + 76952687.

Almost surely, 2^{11100236653968} 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 11100236653968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897051844608).

11100236653968 is an abundant number, since it is smaller than the sum of its proper divisors (26693867035248).

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

11100236653968 is a wasteful number, since it uses less digits than its factorization.

11100236653968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144515 (or 144498 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 11100236653968 in words is "eleven trillion, one hundred billion, two hundred thirty-six million, six hundred fifty-three thousand, nine hundred sixty-eight".