144659644416 has 680 divisors, whose sum is σ = 525269653920. Its totient is φ = 38730203136.

The previous prime is 144659644391. The next prime is 144659644427. The reversal of 144659644416 is 614446956441.

144659644416 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 596 + 4 + 4 + 41 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 631701390 + ... + 631701618.

Almost surely, 2^144659644416 is an apocalyptic number.

144659644416 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 144659644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262634826960).

144659644416 is an abundant number, since it is smaller than the sum of its proper divisors (380610009504).

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

144659644416 is an frugal number, since it uses more digits than its factorization.

144659644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 258 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 144659644416 in words is "one hundred forty-four billion, six hundred fifty-nine million, six hundred forty-four thousand, four hundred sixteen".