144538681996800 has 4800 divisors, whose sum is σ = 703455025996800. Its totient is φ = 28473387909120.

The previous prime is 144538681996769. The next prime is 144538681996817. The reversal of 144538681996800 is 8699186835441.

144538681996800 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 386 + 81 + 9 + 96 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 93310962426 + ... + 93310963974.

It is an arithmetic number, because the mean of its divisors is an integer number (146553130416).

Almost surely, 2^{144538681996800} is an apocalyptic number.

144538681996800 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 144538681996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351727512998400).

144538681996800 is an abundant number, since it is smaller than the sum of its proper divisors (558916344000000).

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

144538681996800 is a wasteful number, since it uses less digits than its factorization.

144538681996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 144538681996800 in words is "one hundred forty-four trillion, five hundred thirty-eight billion, six hundred eighty-one million, nine hundred ninety-six thousand, eight hundred".