144920209245312 has 64 divisors (see below), whose sum is σ = 385255498910400. Its totient is φ = 48267684731904.

The previous prime is 144920209245269. The next prime is 144920209245313. The reversal of 144920209245312 is 213542902029441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (144920209245313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 152070012 + ... + 153020027.

It is an arithmetic number, because the mean of its divisors is an integer number (6019617170475).

Almost surely, 2^{144920209245312} is an apocalyptic number.

144920209245312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144920209245312 is an abundant number, since it is smaller than the sum of its proper divisors (240335289665088).

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

144920209245312 is a wasteful number, since it uses less digits than its factorization.

144920209245312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305091293 (or 305091281 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 144920209245312 in words is "one hundred forty-four trillion, nine hundred twenty billion, two hundred nine million, two hundred forty-five thousand, three hundred twelve".