273823801344 has 224 divisors, whose sum is σ = 859014426240. Its totient is φ = 85904326656.

The previous prime is 273823801331. The next prime is 273823801357. The reversal of 273823801344 is 443108328372.

273823801344 is a `hidden beast` number, since 2 + 73 + 8 + 238 + 0 + 1 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (273823801331) and next prime (273823801357).

It is a self number, because there is not a number n which added to its sum of digits gives 273823801344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3723717 + ... + 3796539.

Almost surely, 2^273823801344 is an apocalyptic number.

273823801344 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 273823801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429507213120).

273823801344 is an abundant number, since it is smaller than the sum of its proper divisors (585190624896).

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

273823801344 is an equidigital number, since it uses as much as digits as its factorization.

273823801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72875 (or 72845 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 273823801344 in words is "two hundred seventy-three billion, eight hundred twenty-three million, eight hundred one thousand, three hundred forty-four".