144978482880 has 896 divisors, whose sum is σ = 643281131520. Its totient is φ = 30108672000.

The previous prime is 144978482879. The next prime is 144978482893. The reversal of 144978482880 is 88284879441.

144978482880 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 78 + 482 + 8 + 80 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 80497980 + ... + 80499780.

Almost surely, 2^144978482880 is an apocalyptic number.

144978482880 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 144978482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321640565760).

144978482880 is an abundant number, since it is smaller than the sum of its proper divisors (498302648640).

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

144978482880 is a wasteful number, since it uses less digits than its factorization.

144978482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 144978482880 in words is "one hundred forty-four billion, nine hundred seventy-eight million, four hundred eighty-two thousand, eight hundred eighty".