230669135424 has 1120 divisors, whose sum is σ = 910808236800. Its totient is φ = 57159696384.

The previous prime is 230669135423. The next prime is 230669135497. The reversal of 230669135424 is 424531966032.

230669135424 is a `hidden beast` number, since 2 + 30 + 6 + 69 + 13 + 542 + 4 = 666.

It is a super-3 number, since 3×230669135424³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230669135424.

It is not an unprimeable number, because it can be changed into a prime (230669135423) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 392962459 + ... + 392963045.

It is an arithmetic number, because the mean of its divisors is an integer number (813221640).

Almost surely, 2^230669135424 is an apocalyptic number.

230669135424 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 230669135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455404118400).

230669135424 is an abundant number, since it is smaller than the sum of its proper divisors (680139101376).

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

230669135424 is a wasteful number, since it uses less digits than its factorization.

230669135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 230669135424 in words is "two hundred thirty billion, six hundred sixty-nine million, one hundred thirty-five thousand, four hundred twenty-four".