230688922752 has 360 divisors, whose sum is σ = 707674636515. Its totient is φ = 74597732352.

The previous prime is 230688922729. The next prime is 230688922753. The reversal of 230688922752 is 257229886032.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

230688922752 is a `hidden beast` number, since 230 + 68 + 89 + 2 + 275 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 91750833216 + 138938089536 = 302904^2 + 372744^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=339624.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230688922753) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2592010324 + ... + 2592010412.

Almost surely, 2^230688922752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230688922752

230688922752 is an abundant number, since it is smaller than the sum of its proper divisors (476985713763).

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

230688922752 is an frugal number, since it uses more digits than its factorization.

230688922752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

It can be divided in two parts, 230688 and 922752, that multiplied together give a square (212867813376 = 461376²).

The spelling of 230688922752 in words is "two hundred thirty billion, six hundred eighty-eight million, nine hundred twenty-two thousand, seven hundred fifty-two".