11553221723351 has 64 divisors (see below), whose sum is σ = 15653347491840. Its totient is φ = 8252454960000.

The previous prime is 11553221723347. The next prime is 11553221723357. The reversal of 11553221723351 is 15332712235511.

It is a happy number.

11553221723351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11553221723351 - 2² = 11553221723347 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11553221723299 and 11553221723308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553221723357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 483042845 + ... + 483066761.

It is an arithmetic number, because the mean of its divisors is an integer number (244583554560).

Almost surely, 2^{11553221723351} is an apocalyptic number.

11553221723351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11553221723351 is a deficient number, since it is larger than the sum of its proper divisors (4100125768489).

11553221723351 is a wasteful number, since it uses less digits than its factorization.

11553221723351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34636.

The product of its digits is 189000, while the sum is 41.

Adding to 11553221723351 its reverse (15332712235511), we get a palindrome (26885933958862).

The spelling of 11553221723351 in words is "eleven trillion, five hundred fifty-three billion, two hundred twenty-one million, seven hundred twenty-three thousand, three hundred fifty-one".