230431128480 has 384 divisors, whose sum is σ = 928469122560. Its totient is φ = 52284579840.

The previous prime is 230431128427. The next prime is 230431128497. The reversal of 230431128480 is 84821134032.

It is a happy number.

230431128480 is a `hidden beast` number, since 23 + 0 + 4 + 31 + 128 + 480 = 666.

It is a super-2 number, since 2×230431128480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4115070 + ... + 4170690.

It is an arithmetic number, because the mean of its divisors is an integer number (2417888340).

Almost surely, 2^230431128480 is an apocalyptic number.

230431128480 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 230431128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464234561280).

230431128480 is an abundant number, since it is smaller than the sum of its proper divisors (698037994080).

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

230431128480 is a wasteful number, since it uses less digits than its factorization.

230431128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55789 (or 55775 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 230431128480 in words is "two hundred thirty billion, four hundred thirty-one million, one hundred twenty-eight thousand, four hundred eighty".