144627372856512 has 1344 divisors, whose sum is σ = 562118426688000. Its totient is φ = 36042839433216.

The previous prime is 144627372856511. The next prime is 144627372856559. The reversal of 144627372856512 is 215658273726441.

144627372856512 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 2 + 7 + 37 + 2 + 85 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×144627372856512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 144627372856512.

It is not an unprimeable number, because it can be changed into a prime (144627372856511) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8302842939 + ... + 8302860357.

It is an arithmetic number, because the mean of its divisors is an integer number (418242877000).

Almost surely, 2^{144627372856512} is an apocalyptic number.

144627372856512 is a gapful number since it is divisible by the number (12) 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 144627372856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281059213344000).

144627372856512 is an abundant number, since it is smaller than the sum of its proper divisors (417491053831488).

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

144627372856512 is a wasteful number, since it uses less digits than its factorization.

144627372856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17883 (or 17860 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 144627372856512 in words is "one hundred forty-four trillion, six hundred twenty-seven billion, three hundred seventy-two million, eight hundred fifty-six thousand, five hundred twelve".