144456346656 has 144 divisors (see below), whose sum is σ = 417604987800. Its totient is φ = 47360692224.

The previous prime is 144456346649. The next prime is 144456346663. The reversal of 144456346656 is 656643654441.

144456346656 is a `hidden beast` number, since 14 + 4 + 4 + 563 + 4 + 6 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (144456346649) and next prime (144456346663).

It can be written as a sum of positive squares in 4 ways, for example, as 143274362256 + 1181984400 = 378516^2 + 34380^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 4283910 + ... + 4317498.

Almost surely, 2^144456346656 is an apocalyptic number.

144456346656 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 144456346656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208802493900).

144456346656 is an abundant number, since it is smaller than the sum of its proper divisors (273148641144).

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

144456346656 is a wasteful number, since it uses less digits than its factorization.

144456346656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33851 (or 33840 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 144456346656 in words is "one hundred forty-four billion, four hundred fifty-six million, three hundred forty-six thousand, six hundred fifty-six".