144270683504640 has 3840 divisors, whose sum is σ = 667014290490240. Its totient is φ = 29617139220480.

The previous prime is 144270683504593. The next prime is 144270683504641. The reversal of 144270683504640 is 46405386072441.

144270683504640 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 70 + 6 + 8 + 3 + 504 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144270683504641) 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 239 ways as a sum of consecutive naturals, for example, 1738201006039 + ... + 1738201006121.

Almost surely, 2^{144270683504640} is an apocalyptic number.

144270683504640 is a gapful number since it is divisible by the number (10) 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 144270683504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333507145245120).

144270683504640 is an abundant number, since it is smaller than the sum of its proper divisors (522743606985600).

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

144270683504640 is an frugal number, since it uses more digits than its factorization.

144270683504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 144270683504640 in words is "one hundred forty-four trillion, two hundred seventy billion, six hundred eighty-three million, five hundred four thousand, six hundred forty".