230049271588752 has 960 divisors, whose sum is σ = 933955658726400. Its totient is φ = 53278250618880.

The previous prime is 230049271588727. The next prime is 230049271588757. The reversal of 230049271588752 is 257885172940032.

230049271588752 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 49 + 2 + 7 + 1 + 588 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 230049271588752.

It is not an unprimeable number, because it can be changed into a prime (230049271588757) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73680523 + ... + 76739285.

It is an arithmetic number, because the mean of its divisors is an integer number (972870477840).

Almost surely, 2^{230049271588752} is an apocalyptic number.

230049271588752 is a gapful number since it is divisible by the number (22) 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 230049271588752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466977829363200).

230049271588752 is an abundant number, since it is smaller than the sum of its proper divisors (703906387137648).

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

230049271588752 is a wasteful number, since it uses less digits than its factorization.

230049271588752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058841 (or 3058822 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 230049271588752 in words is "two hundred thirty trillion, forty-nine billion, two hundred seventy-one million, five hundred eighty-eight thousand, seven hundred fifty-two".