144629778203568 has 200 divisors, whose sum is σ = 478673572135968. Its totient is φ = 41299216616448.

The previous prime is 144629778203549. The next prime is 144629778203587. The reversal of 144629778203568 is 865302877926441.

144629778203568 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 297 + 78 + 203 + 5 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (144629778203549) and next prime (144629778203587).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 144629778203496 and 144629778203505.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11356030 + ... + 20450402.

It is a 2-persistent number, because it is pandigital, and so is 2⋅144629778203568 = 289259556407136, but 3⋅144629778203568 = 433889334610704 is not.

Almost surely, 2^{144629778203568} is an apocalyptic number.

144629778203568 is a gapful number since it is divisible by the number (18) 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 144629778203568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239336786067984).

144629778203568 is an abundant number, since it is smaller than the sum of its proper divisors (334043793932400).

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

144629778203568 is a wasteful number, since it uses less digits than its factorization.

144629778203568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9096153 (or 9096138 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 144629778203568 in words is "one hundred forty-four trillion, six hundred twenty-nine billion, seven hundred seventy-eight million, two hundred three thousand, five hundred sixty-eight".