144514225233504 has 96 divisors (see below), whose sum is σ = 481714084131840. Its totient is φ = 41289778636416.

The previous prime is 144514225233493. The next prime is 144514225233523. The reversal of 144514225233504 is 405332522415441.

144514225233504 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 1 + 42 + 252 + 3 + 350 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×144514225233504² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144514225233504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11947267864 + ... + 11947279959.

It is an arithmetic number, because the mean of its divisors is an integer number (5017855043040).

Almost surely, 2^{144514225233504} is an apocalyptic number.

144514225233504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144514225233504 is an abundant number, since it is smaller than the sum of its proper divisors (337199858898336).

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

144514225233504 is a wasteful number, since it uses less digits than its factorization.

144514225233504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23894547849 (or 23894547835 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 144514225233504 its reverse (405332522415441), we get a palindrome (549846747648945).

The spelling of 144514225233504 in words is "one hundred forty-four trillion, five hundred fourteen billion, two hundred twenty-five million, two hundred thirty-three thousand, five hundred four".