144998089600 has 768 divisors, whose sum is σ = 471719808000. Its totient is φ = 42759290880.

The previous prime is 144998089589. The next prime is 144998089603. The reversal of 144998089600 is 6980899441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144998089603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 403894221 + ... + 403894579.

It is an arithmetic number, because the mean of its divisors is an integer number (614218500).

Almost surely, 2^144998089600 is an apocalyptic number.

144998089600 is a gapful number since it is divisible by the number (10) 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 144998089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235859904000).

144998089600 is an abundant number, since it is smaller than the sum of its proper divisors (326721718400).

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

144998089600 is a wasteful number, since it uses less digits than its factorization.

144998089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 144998089600 in words is "one hundred forty-four billion, nine hundred ninety-eight million, eighty-nine thousand, six hundred".