144220229858304 has 352 divisors, whose sum is σ = 450093450804480. Its totient is φ = 45527961600000.

The previous prime is 144220229858279. The next prime is 144220229858317. The reversal of 144220229858304 is 403858922022441.

144220229858304 is a `hidden beast` number, since 1 + 4 + 4 + 220 + 22 + 98 + 5 + 8 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63103554 + ... + 65349054.

Almost surely, 2^{144220229858304} 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 144220229858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225046725402240).

144220229858304 is an abundant number, since it is smaller than the sum of its proper divisors (305873220946176).

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

144220229858304 is a wasteful number, since it uses less digits than its factorization.

144220229858304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245654 (or 2245630 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 144220229858304 in words is "one hundred forty-four trillion, two hundred twenty billion, two hundred twenty-nine million, eight hundred fifty-eight thousand, three hundred four".