144105356450511 has 96 divisors (see below), whose sum is σ = 224085562848000. Its totient is φ = 91519103092032.

The previous prime is 144105356450507. The next prime is 144105356450519. The reversal of 144105356450511 is 115054653501441.

144105356450511 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 0 + 535 + 64 + 5 + 0 + 51 + 1 = 666.

It is not a de Polignac number, because 144105356450511 - 2² = 144105356450507 is a prime.

It is a super-2 number, since 2×144105356450511² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144105356450519) 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, 3837980440 + ... + 3838017986.

It is an arithmetic number, because the mean of its divisors is an integer number (2334224613000).

Almost surely, 2^{144105356450511} is an apocalyptic number.

144105356450511 is a deficient number, since it is larger than the sum of its proper divisors (79980206397489).

144105356450511 is a wasteful number, since it uses less digits than its factorization.

144105356450511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38690 (or 38661 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 144105356450511 in words is "one hundred forty-four trillion, one hundred five billion, three hundred fifty-six million, four hundred fifty thousand, five hundred eleven".