144548998416 has 225 divisors, whose sum is σ = 427968698311. Its totient is φ = 47101722048.

The previous prime is 144548998381. The next prime is 144548998453. The reversal of 144548998416 is 614899845441.

The square root of 144548998416 is 380196.

It is a perfect power (a square), and thus also a powerful number.

144548998416 is a `hidden beast` number, since 1 + 4 + 4 + 54 + 89 + 98 + 416 = 666.

It is a Duffinian number.

Its product of digits (39813120) is a multiple of the sum of its prime divisors (243).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 807536215 + ... + 807536393.

Almost surely, 2^144548998416 is an apocalyptic number.

144548998416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144548998416 is the 380196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144548998416

144548998416 is an abundant number, since it is smaller than the sum of its proper divisors (283419699895).

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

144548998416 is an frugal number, since it uses more digits than its factorization.

144548998416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 243 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 144548998416 in words is "one hundred forty-four billion, five hundred forty-eight million, nine hundred ninety-eight thousand, four hundred sixteen".