11353604544 has 112 divisors (see below), whose sum is σ = 34191793440. Its totient is φ = 3692206080.

The previous prime is 11353604543. The next prime is 11353604551. The reversal of 11353604544 is 44540635311.

11353604544 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 604 + 5 + 44 = 666.

It is a super-2 number, since 2×11353604544² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11353604499 and 11353604508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11353604543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9279 + ... + 150974.

It is an arithmetic number, because the mean of its divisors is an integer number (305283870).

Almost surely, 2^11353604544 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 11353604544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095896720).

11353604544 is an abundant number, since it is smaller than the sum of its proper divisors (22838188896).

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

11353604544 is a wasteful number, since it uses less digits than its factorization.

11353604544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160315 (or 160299 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 11353604544 in words is "eleven billion, three hundred fifty-three million, six hundred four thousand, five hundred forty-four".