144218399616 has 256 divisors, whose sum is σ = 429424488000. Its totient is φ = 47648342016.

The previous prime is 144218399603. The next prime is 144218399651. The reversal of 144218399616 is 616993812441.

144218399616 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 18 + 3 + 9 + 9 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352612020 + ... + 352612428.

Almost surely, 2^144218399616 is an apocalyptic number.

144218399616 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 144218399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214712244000).

144218399616 is an abundant number, since it is smaller than the sum of its proper divisors (285206088384).

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

144218399616 is a wasteful number, since it uses less digits than its factorization.

144218399616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1068 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 144218399616 in words is "one hundred forty-four billion, two hundred eighteen million, three hundred ninety-nine thousand, six hundred sixteen".