144585939554640 has 360 divisors, whose sum is σ = 533877752215080. Its totient is φ = 36288233570304.

The previous prime is 144585939554629. The next prime is 144585939554659. The reversal of 144585939554640 is 46455939585441.

144585939554640 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 8 + 5 + 9 + 3 + 9 + 554 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56069604865296 + 88516334689344 = 7487964^2 + 9408312^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 821056 + ... + 17024864.

It is an arithmetic number, because the mean of its divisors is an integer number (1482993756153).

Almost surely, 2^{144585939554640} is an apocalyptic number.

144585939554640 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 144585939554640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266938876107540).

144585939554640 is an abundant number, since it is smaller than the sum of its proper divisors (389291812660440).

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

144585939554640 is an equidigital number, since it uses as much as digits as its factorization.

144585939554640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16203863 (or 16203836 counting only the distinct ones).

The product of its (nonzero) digits is 1866240000, while the sum is 72.

The spelling of 144585939554640 in words is "one hundred forty-four trillion, five hundred eighty-five billion, nine hundred thirty-nine million, five hundred fifty-four thousand, six hundred forty".