230368430754 has 512 divisors, whose sum is σ = 694987776000. Its totient is φ = 55876746240.

The previous prime is 230368430749. The next prime is 230368430759. The reversal of 230368430754 is 457034863032.

230368430754 is a `hidden beast` number, since 230 + 3 + 68 + 4 + 307 + 54 = 666.

230368430754 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230368430749) and next prime (230368430759).

It is a super-2 number, since 2×230368430754² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230368430759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 786240232 + ... + 786240524.

It is an arithmetic number, because the mean of its divisors is an integer number (1357398000).

Almost surely, 2^230368430754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230368430754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347493888000).

230368430754 is an abundant number, since it is smaller than the sum of its proper divisors (464619345246).

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

230368430754 is a wasteful number, since it uses less digits than its factorization.

230368430754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 230368430754 in words is "two hundred thirty billion, three hundred sixty-eight million, four hundred thirty thousand, seven hundred fifty-four".