243141885702144 has 2496 divisors, whose sum is σ = 892596729024000. Its totient is φ = 62642139955200.

The previous prime is 243141885702119. The next prime is 243141885702179. The reversal of 243141885702144 is 441207588141342.

243141885702144 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 4 + 1 + 8 + 8 + 570 + 21 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1631824736182 + ... + 1631824736330.

It is an arithmetic number, because the mean of its divisors is an integer number (357610869000).

Almost surely, 2^{243141885702144} is an apocalyptic number.

243141885702144 is a gapful number since it is divisible by the number (24) 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 243141885702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446298364512000).

243141885702144 is an abundant number, since it is smaller than the sum of its proper divisors (649454843321856).

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

243141885702144 is a wasteful number, since it uses less digits than its factorization.

243141885702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 243141885702144 in words is "two hundred forty-three trillion, one hundred forty-one billion, eight hundred eighty-five million, seven hundred two thousand, one hundred forty-four".