144893568960 has 224 divisors, whose sum is σ = 584174315520. Its totient is φ = 33118516224.

The previous prime is 144893568923. The next prime is 144893568961. The reversal of 144893568960 is 69865398441.

144893568960 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 9 + 3 + 568 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144893568961) 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 31 ways as a sum of consecutive naturals, for example, 1137384 + ... + 1258343.

Almost surely, 2^144893568960 is an apocalyptic number.

144893568960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144893568960 is an abundant number, since it is smaller than the sum of its proper divisors (439280746560).

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

144893568960 is a wasteful number, since it uses less digits than its factorization.

144893568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395760 (or 2395744 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

It can be divided in two parts, 14489 and 3568960, that added together give a square (3583449 = 1893²).

The spelling of 144893568960 in words is "one hundred forty-four billion, eight hundred ninety-three million, five hundred sixty-eight thousand, nine hundred sixty".