144394191216 has 400 divisors, whose sum is σ = 472376813568. Its totient is φ = 42186355200.

The previous prime is 144394191203. The next prime is 144394191217. The reversal of 144394191216 is 612191493441.

It is a happy number.

144394191216 is a `hidden beast` number, since 1 + 4 + 439 + 4 + 191 + 21 + 6 = 666.

It is a super-3 number, since 3×144394191216³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144394191217) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175448181 + ... + 175449003.

Almost surely, 2^144394191216 is an apocalyptic number.

144394191216 is a gapful number since it is divisible by the number (16) 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 144394191216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236188406784).

144394191216 is an abundant number, since it is smaller than the sum of its proper divisors (327982622352).

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

144394191216 is a wasteful number, since it uses less digits than its factorization.

144394191216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1267 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 144394191216 in words is "one hundred forty-four billion, three hundred ninety-four million, one hundred ninety-one thousand, two hundred sixteen".