144196300800 has 468 divisors, whose sum is σ = 527627524320. Its totient is φ = 37622906880.

The previous prime is 144196300799. The next prime is 144196300811. The reversal of 144196300800 is 8003691441.

144196300800 is a `hidden beast` number, since 1 + 4 + 4 + 19 + 630 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43313536 + ... + 43316864.

It is an arithmetic number, because the mean of its divisors is an integer number (1127409240).

Almost surely, 2^144196300800 is an apocalyptic number.

144196300800 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 144196300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263813762160).

144196300800 is an abundant number, since it is smaller than the sum of its proper divisors (383431223520).

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

144196300800 is a wasteful number, since it uses less digits than its factorization.

144196300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 144196300800 in words is "one hundred forty-four billion, one hundred ninety-six million, three hundred thousand, eight hundred".