144214398804 has 288 divisors, whose sum is σ = 423400158720. Its totient is φ = 37967263488.

The previous prime is 144214398751. The next prime is 144214398817. The reversal of 144214398804 is 408893412441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152285059 + ... + 152286005.

It is an arithmetic number, because the mean of its divisors is an integer number (1470139440).

Almost surely, 2^144214398804 is an apocalyptic number.

144214398804 is a gapful number since it is divisible by the number (14) 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 144214398804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700079360).

144214398804 is an abundant number, since it is smaller than the sum of its proper divisors (279185759916).

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

144214398804 is a wasteful number, since it uses less digits than its factorization.

144214398804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 144214398804 in words is "one hundred forty-four billion, two hundred fourteen million, three hundred ninety-eight thousand, eight hundred four".