273232238767488 has 4608 divisors, whose sum is σ = 1182433154273280. Its totient is φ = 61627126579200.

The previous prime is 273232238767487. The next prime is 273232238767529. The reversal of 273232238767488 is 884767832232372.

273232238767488 is a `hidden beast` number, since 2 + 7 + 3 + 2 + 3 + 2 + 2 + 3 + 87 + 67 + 488 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273232238767487) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 249983749470 + ... + 249983750562.

It is an arithmetic number, because the mean of its divisors is an integer number (256604417160).

Almost surely, 2^{273232238767488} is an apocalyptic number.

273232238767488 is a gapful number since it is divisible by the number (28) 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 273232238767488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591216577136640).

273232238767488 is an abundant number, since it is smaller than the sum of its proper divisors (909200915505792).

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

273232238767488 is a wasteful number, since it uses less digits than its factorization.

273232238767488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1197 counting only the distinct ones).

The product of its digits is 1820786688, while the sum is 72.

The spelling of 273232238767488 in words is "two hundred seventy-three trillion, two hundred thirty-two billion, two hundred thirty-eight million, seven hundred sixty-seven thousand, four hundred eighty-eight".