144975334464 has 210 divisors, whose sum is σ = 435358204974. Its totient is φ = 47702753280.

The previous prime is 144975334429. The next prime is 144975334507. The reversal of 144975334464 is 464433579441.

144975334464 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 7 + 533 + 44 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136692878400 + 8282456064 = 369720^2 + 91008^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 144975334464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32351104 + ... + 32355584.

Almost surely, 2^144975334464 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 144975334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217679102487).

144975334464 is an abundant number, since it is smaller than the sum of its proper divisors (290382870510).

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

144975334464 is an frugal number, since it uses more digits than its factorization.

144975334464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4565 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 144975334464 in words is "one hundred forty-four billion, nine hundred seventy-five million, three hundred thirty-four thousand, four hundred sixty-four".