144420807447675 has 288 divisors, whose sum is σ = 299297598013440. Its totient is φ = 65834644320000.

The previous prime is 144420807447533. The next prime is 144420807447677. The reversal of 144420807447675 is 576744708024441.

144420807447675 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 20 + 8 + 0 + 74 + 476 + 75 = 666.

It is not a de Polignac number, because 144420807447675 - 2¹⁹ = 144420806923387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144420807447677) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3871126372 + ... + 3871163678.

It is an arithmetic number, because the mean of its divisors is an integer number (1039227770880).

Almost surely, 2^{144420807447675} is an apocalyptic number.

144420807447675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144420807447675 is an abundant number, since it is smaller than the sum of its proper divisors (154876790565765).

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

144420807447675 is a wasteful number, since it uses less digits than its factorization.

144420807447675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37975 (or 37967 counting only the distinct ones).

The product of its (nonzero) digits is 168591360, while the sum is 63.

The spelling of 144420807447675 in words is "one hundred forty-four trillion, four hundred twenty billion, eight hundred seven million, four hundred forty-seven thousand, six hundred seventy-five".