144683795469312 has 440 divisors, whose sum is σ = 496138738566240. Its totient is φ = 41536012861440.

The previous prime is 144683795469289. The next prime is 144683795469337. The reversal of 144683795469312 is 213964597386441.

144683795469312 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 8 + 3 + 79 + 546 + 9 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13162198 + ... + 21508394.

It is an arithmetic number, because the mean of its divisors is an integer number (1127588042196).

Almost surely, 2^{144683795469312} is an apocalyptic number.

144683795469312 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 144683795469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248069369283120).

144683795469312 is an abundant number, since it is smaller than the sum of its proper divisors (351454943096928).

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

144683795469312 is a wasteful number, since it uses less digits than its factorization.

144683795469312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8346259 (or 8346232 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 144683795469312 in words is "one hundred forty-four trillion, six hundred eighty-three billion, seven hundred ninety-five million, four hundred sixty-nine thousand, three hundred twelve".