144364581504 has 896 divisors, whose sum is σ = 524430144000. Its totient is φ = 38967091200.

The previous prime is 144364581503. The next prime is 144364581523. The reversal of 144364581504 is 405185463441.

144364581504 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 64 + 5 + 81 + 504 = 666.

It is a super-2 number, since 2×144364581504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144364581504.

It is not an unprimeable number, because it can be changed into a prime (144364581503) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 413651922 + ... + 413652270.

It is an arithmetic number, because the mean of its divisors is an integer number (585301500).

Almost surely, 2^144364581504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144364581504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262215072000).

144364581504 is an abundant number, since it is smaller than the sum of its proper divisors (380065562496).

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

144364581504 is a wasteful number, since it uses less digits than its factorization.

144364581504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 144364581504 in words is "one hundred forty-four billion, three hundred sixty-four million, five hundred eighty-one thousand, five hundred four".