230153344000 has 176 divisors, whose sum is σ = 607963421520. Its totient is φ = 86645145600.

The previous prime is 230153343997. The next prime is 230153344009. The reversal of 230153344000 is 443351032.

It can be written as a sum of positive squares in 8 ways, for example, as 2387690496 + 227765653504 = 48864^2 + 477248^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230153344009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2123116 + ... + 2228884.

Almost surely, 2^230153344000 is an apocalyptic number.

230153344000 is a gapful number since it is divisible by the number (20) 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 230153344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303981710760).

230153344000 is an abundant number, since it is smaller than the sum of its proper divisors (377810077520).

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

230153344000 is a wasteful number, since it uses less digits than its factorization.

230153344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105821 (or 105793 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 230153344000 its reverse (443351032), we get a palindrome (230596695032).

The spelling of 230153344000 in words is "two hundred thirty billion, one hundred fifty-three million, three hundred forty-four thousand".