144919535616 has 224 divisors, whose sum is σ = 433376222400. Its totient is φ = 47855370240.

The previous prime is 144919535611. The next prime is 144919535623. The reversal of 144919535616 is 616535919441.

144919535616 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 19 + 5 + 3 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (144919535611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24106051 + ... + 24112061.

Almost surely, 2^144919535616 is an apocalyptic number.

144919535616 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 144919535616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216688111200).

144919535616 is an abundant number, since it is smaller than the sum of its proper divisors (288456686784).

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

144919535616 is an equidigital number, since it uses as much as digits as its factorization.

144919535616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6125 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 144919535616 in words is "one hundred forty-four billion, nine hundred nineteen million, five hundred thirty-five thousand, six hundred sixteen".