230866481664 has 960 divisors, whose sum is σ = 891414374400. Its totient is φ = 57605603328.

The previous prime is 230866481663. The next prime is 230866481701. The reversal of 230866481664 is 466184668032.

230866481664 is a `hidden beast` number, since 23 + 0 + 86 + 6 + 481 + 6 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230866481664.

It is not an unprimeable number, because it can be changed into a prime (230866481663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310721677 + ... + 310722419.

It is an arithmetic number, because the mean of its divisors is an integer number (928556640).

Almost surely, 2^230866481664 is an apocalyptic number.

230866481664 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 230866481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445707187200).

230866481664 is an abundant number, since it is smaller than the sum of its proper divisors (660547892736).

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

230866481664 is a wasteful number, since it uses less digits than its factorization.

230866481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 230866481664 in words is "two hundred thirty billion, eight hundred sixty-six million, four hundred eighty-one thousand, six hundred sixty-four".