272443733308368 has 120 divisors (see below), whose sum is σ = 789046046630400. Its totient is φ = 87650788684032.

The previous prime is 272443733308367. The next prime is 272443733308381. The reversal of 272443733308368 is 863803337344272.

272443733308368 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 437 + 33 + 30 + 83 + 68 = 666.

It is a super-2 number, since 2×272443733308368² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272443733308367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642580 + ... + 23351667.

It is an arithmetic number, because the mean of its divisors is an integer number (6575383721920).

Almost surely, 2^{272443733308368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272443733308368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394523023315200).

272443733308368 is an abundant number, since it is smaller than the sum of its proper divisors (516602313322032).

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

272443733308368 is a wasteful number, since it uses less digits than its factorization.

272443733308368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23997009 (or 23997000 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 63.

The spelling of 272443733308368 in words is "two hundred seventy-two trillion, four hundred forty-three billion, seven hundred thirty-three million, three hundred eight thousand, three hundred sixty-eight".