230465039825664 has 864 divisors, whose sum is σ = 789861075494400. Its totient is φ = 63232598016000.

The previous prime is 230465039825633. The next prime is 230465039825677. The reversal of 230465039825664 is 466528930564032.

230465039825664 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 65 + 0 + 3 + 9 + 8 + 2 + 566 + 4 = 666.

It is a super-2 number, since 2×230465039825664² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151323072007 + ... + 151323073529.

It is an arithmetic number, because the mean of its divisors is an integer number (914191059600).

Almost surely, 2^{230465039825664} is an apocalyptic number.

230465039825664 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 230465039825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394930537747200).

230465039825664 is an abundant number, since it is smaller than the sum of its proper divisors (559396035668736).

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

230465039825664 is a wasteful number, since it uses less digits than its factorization.

230465039825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 230465039825664 in words is "two hundred thirty trillion, four hundred sixty-five billion, thirty-nine million, eight hundred twenty-five thousand, six hundred sixty-four".