11000245546836 has 288 divisors, whose sum is σ = 34814958796800. Its totient is φ = 2851408127232.

The previous prime is 11000245546831. The next prime is 11000245546853. The reversal of 11000245546836 is 63864554200011.

11000245546836 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 2 + 4 + 554 + 68 + 36 = 666.

It is a super-2 number, since 2×11000245546836² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11000245546791 and 11000245546800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000245546831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44394015 + ... + 44641113.

It is an arithmetic number, because the mean of its divisors is an integer number (120885273600).

Almost surely, 2^{11000245546836} 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 11000245546836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17407479398400).

11000245546836 is an abundant number, since it is smaller than the sum of its proper divisors (23814713249964).

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

11000245546836 is a wasteful number, since it uses less digits than its factorization.

11000245546836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247363 (or 247358 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

Adding to 11000245546836 its reverse (63864554200011), we get a palindrome (74864799746847).

The spelling of 11000245546836 in words is "eleven trillion, two hundred forty-five million, five hundred forty-six thousand, eight hundred thirty-six".