144368056272 has 240 divisors, whose sum is σ = 418175110080. Its totient is φ = 42873600000.

The previous prime is 144368056249. The next prime is 144368056279. The reversal of 144368056272 is 272650863441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144368056279) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 205945522 + ... + 205946222.

It is an arithmetic number, because the mean of its divisors is an integer number (1742396292).

Almost surely, 2^144368056272 is an apocalyptic number.

144368056272 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 144368056272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209087555040).

144368056272 is an abundant number, since it is smaller than the sum of its proper divisors (273807053808).

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

144368056272 is a wasteful number, since it uses less digits than its factorization.

144368056272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

It can be divided in two parts, 14436 and 8056272, that added together give a palindrome (8070708).

The spelling of 144368056272 in words is "one hundred forty-four billion, three hundred sixty-eight million, fifty-six thousand, two hundred seventy-two".