11355313144 has 32 divisors (see below), whose sum is σ = 25117747200. Its totient is φ = 4709576160.

The previous prime is 11355313117. The next prime is 11355313147. The reversal of 11355313144 is 44131355311.

11355313144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355313147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3268804 + ... + 3272275.

It is an arithmetic number, because the mean of its divisors is an integer number (784929600).

Almost surely, 2^11355313144 is an apocalyptic number.

11355313144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11355313144 is an abundant number, since it is smaller than the sum of its proper divisors (13762434056).

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

11355313144 is a wasteful number, since it uses less digits than its factorization.

11355313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541123 (or 6541119 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

Adding to 11355313144 its reverse (44131355311), we get a palindrome (55486668455).

The spelling of 11355313144 in words is "eleven billion, three hundred fifty-five million, three hundred thirteen thousand, one hundred forty-four".