144307615816 has 128 divisors (see below), whose sum is σ = 340375392000. Its totient is φ = 56994416640.

The previous prime is 144307615723. The next prime is 144307615843. The reversal of 144307615816 is 618516703441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24004251 + ... + 24010261.

It is an arithmetic number, because the mean of its divisors is an integer number (2659182750).

Almost surely, 2^144307615816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144307615816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170187696000).

144307615816 is an abundant number, since it is smaller than the sum of its proper divisors (196067776184).

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

144307615816 is a wasteful number, since it uses less digits than its factorization.

144307615816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 144307615816 in words is "one hundred forty-four billion, three hundred seven million, six hundred fifteen thousand, eight hundred sixteen".