144064213360200 has 576 divisors, whose sum is σ = 553718386540800. Its totient is φ = 32882182502400.

The previous prime is 144064213360163. The next prime is 144064213360217. The reversal of 144064213360200 is 2063312460441.

144064213360200 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 6 + 42 + 1 + 3 + 3 + 602 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46337796246 + ... + 46337799354.

It is an arithmetic number, because the mean of its divisors is an integer number (961316643300).

Almost surely, 2^{144064213360200} is an apocalyptic number.

144064213360200 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 144064213360200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276859193270400).

144064213360200 is an abundant number, since it is smaller than the sum of its proper divisors (409654173180600).

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

144064213360200 is a wasteful number, since it uses less digits than its factorization.

144064213360200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 144064213360200 in words is "one hundred forty-four trillion, sixty-four billion, two hundred thirteen million, three hundred sixty thousand, two hundred".