144358278147072 has 2816 divisors, whose sum is σ = 525021896448000. Its totient is φ = 38679242342400.

The previous prime is 144358278147067. The next prime is 144358278147073. The reversal of 144358278147072 is 270741872853441.

It is a happy number.

144358278147072 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 5 + 82 + 7 + 81 + 470 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-3 number, since 3×144358278147072³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (144358278147073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1038548763579 + ... + 1038548763717.

Almost surely, 2^{144358278147072} is an apocalyptic number.

144358278147072 is a gapful number since it is divisible by the number (12) 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 144358278147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262510948224000).

144358278147072 is an abundant number, since it is smaller than the sum of its proper divisors (380663618300928).

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

144358278147072 is a wasteful number, since it uses less digits than its factorization.

144358278147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 144358278147072 in words is "one hundred forty-four trillion, three hundred fifty-eight billion, two hundred seventy-eight million, one hundred forty-seven thousand, seventy-two".