144400773261312 has 96 divisors (see below), whose sum is σ = 427749686582400. Its totient is φ = 48133591068672.

The previous prime is 144400773261307. The next prime is 144400773261403. The reversal of 144400773261312 is 213162377004441.

144400773261312 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 0 + 0 + 7 + 7 + 326 + 1 + 312 = 666.

144400773261312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×144400773261312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305651928 + ... + 1305762519.

It is an arithmetic number, because the mean of its divisors is an integer number (4455725901900).

Almost surely, 2^{144400773261312} is an apocalyptic number.

144400773261312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144400773261312 is an abundant number, since it is smaller than the sum of its proper divisors (283348913321088).

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

144400773261312 is an equidigital number, since it uses as much as digits as its factorization.

144400773261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611414478 (or 2611414452 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 144400773261312 in words is "one hundred forty-four trillion, four hundred billion, seven hundred seventy-three million, two hundred sixty-one thousand, three hundred twelve".