144340733376 has 224 divisors, whose sum is σ = 510479040000. Its totient is φ = 39069609984.

The previous prime is 144340733347. The next prime is 144340733387. The reversal of 144340733376 is 673337043441.

It is a happy number.

144340733376 is a `hidden beast` number, since 1 + 443 + 40 + 73 + 33 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84201 + ... + 543848.

Almost surely, 2^144340733376 is an apocalyptic number.

144340733376 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 144340733376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255239520000).

144340733376 is an abundant number, since it is smaller than the sum of its proper divisors (366138306624).

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

144340733376 is a wasteful number, since it uses less digits than its factorization.

144340733376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628096 (or 628080 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 144340733376 in words is "one hundred forty-four billion, three hundred forty million, seven hundred thirty-three thousand, three hundred seventy-six".