144113510016 has 192 divisors, whose sum is σ = 491498978880. Its totient is φ = 41175226368.

The previous prime is 144113510003. The next prime is 144113510029. The reversal of 144113510016 is 610015311441.

144113510016 is a `hidden beast` number, since 144 + 1 + 1 + 3 + 510 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (144113510003) and next prime (144113510029).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113221 + ... + 548676.

It is an arithmetic number, because the mean of its divisors is an integer number (2559890515).

Almost surely, 2^144113510016 is an apocalyptic number.

144113510016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144113510016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245749489440).

144113510016 is an abundant number, since it is smaller than the sum of its proper divisors (347385468864).

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

144113510016 is an frugal number, since it uses more digits than its factorization.

144113510016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661933 (or 661909 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 144113510016 its reverse (610015311441), we get a palindrome (754128821457).

The spelling of 144113510016 in words is "one hundred forty-four billion, one hundred thirteen million, five hundred ten thousand, sixteen".