144954304414656 has 224 divisors, whose sum is σ = 419112023945472. Its totient is φ = 43849889341440.

The previous prime is 144954304414627. The next prime is 144954304414691. The reversal of 144954304414656 is 656414403459441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144954304414656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3397318635 + ... + 3397361301.

Almost surely, 2^{144954304414656} is an apocalyptic number.

144954304414656 is a gapful number since it is divisible by the number (16) 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 144954304414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209556011972736).

144954304414656 is an abundant number, since it is smaller than the sum of its proper divisors (274157719530816).

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

144954304414656 is a wasteful number, since it uses less digits than its factorization.

144954304414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45427 (or 45417 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 60.

The spelling of 144954304414656 in words is "one hundred forty-four trillion, nine hundred fifty-four billion, three hundred four million, four hundred fourteen thousand, six hundred fifty-six".