230646528000 has 1440 divisors, whose sum is σ = 1004554671120. Its totient is φ = 52486963200.

The previous prime is 230646527987. The next prime is 230646528029. The reversal of 230646528000 is 825646032.

230646528000 is a `hidden beast` number, since 2 + 3 + 0 + 646 + 5 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1016063887 + ... + 1016064113.

Almost surely, 2^230646528000 is an apocalyptic number.

230646528000 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 230646528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502277335560).

230646528000 is an abundant number, since it is smaller than the sum of its proper divisors (773908143120).

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

230646528000 is an equidigital number, since it uses as much as digits as its factorization.

230646528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 230646528000 in words is "two hundred thirty billion, six hundred forty-six million, five hundred twenty-eight thousand".