144057297985536 has 448 divisors, whose sum is σ = 428162559390720. Its totient is φ = 42774862233600.

The previous prime is 144057297985487. The next prime is 144057297985537. The reversal of 144057297985536 is 635589792750441.

It is a super-3 number, since 3×144057297985536³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144057297985537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30973400811 + ... + 30973405461.

It is an arithmetic number, because the mean of its divisors is an integer number (955719998640).

It is a 1-persistent number, because it is pandigital, but 2⋅144057297985536 = 288114595971072 is not.

Almost surely, 2^{144057297985536} is an apocalyptic number.

144057297985536 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 144057297985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214081279695360).

144057297985536 is an abundant number, since it is smaller than the sum of its proper divisors (284105261405184).

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

144057297985536 is a wasteful number, since it uses less digits than its factorization.

144057297985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8065 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 2286144000, while the sum is 75.

The spelling of 144057297985536 in words is "one hundred forty-four trillion, fifty-seven billion, two hundred ninety-seven million, nine hundred eighty-five thousand, five hundred thirty-six".