144267607446512 has 80 divisors (see below), whose sum is σ = 309756056284032. Its totient is φ = 64539908040960.

The previous prime is 144267607446509. The next prime is 144267607446517. The reversal of 144267607446512 is 215644706762441.

It is a super-2 number, since 2×144267607446512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144267607446517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7795238 + ... + 18689594.

Almost surely, 2^{144267607446512} 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 144267607446512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154878028142016).

144267607446512 is an abundant number, since it is smaller than the sum of its proper divisors (165488448837520).

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

144267607446512 is a wasteful number, since it uses less digits than its factorization.

144267607446512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10895566 (or 10895560 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 59.

The spelling of 144267607446512 in words is "one hundred forty-four trillion, two hundred sixty-seven billion, six hundred seven million, four hundred forty-six thousand, five hundred twelve".