144214027776 has 1200 divisors, whose sum is σ = 554741931744. Its totient is φ = 36954537984.

The previous prime is 144214027759. The next prime is 144214027777. The reversal of 144214027776 is 677720412441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144214027777) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1400136141 + ... + 1400136243.

Almost surely, 2^144214027776 is an apocalyptic number.

144214027776 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 144214027776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277370965872).

144214027776 is an abundant number, since it is smaller than the sum of its proper divisors (410527903968).

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

144214027776 is a wasteful number, since it uses less digits than its factorization.

144214027776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 144214027776 in words is "one hundred forty-four billion, two hundred fourteen million, twenty-seven thousand, seven hundred seventy-six".