230890619664567 has 32 divisors (see below), whose sum is σ = 342536706014400. Its totient is φ = 153712653975936.

The previous prime is 230890619664541. The next prime is 230890619664583. The reversal of 230890619664567 is 765466916098032.

230890619664567 is a `hidden beast` number, since 2 + 3 + 0 + 89 + 0 + 6 + 1 + 96 + 6 + 456 + 7 = 666.

It is not a de Polignac number, because 230890619664567 - 2¹⁵ = 230890619631799 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230890619664495 and 230890619664504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230890619663567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777499309 + ... + 777796217.

It is an arithmetic number, because the mean of its divisors is an integer number (10704272062950).

It is a 1-persistent number, because it is pandigital, but 2⋅230890619664567 = 461781239329134 is not.

Almost surely, 2^{230890619664567} is an apocalyptic number.

230890619664567 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

230890619664567 is a deficient number, since it is larger than the sum of its proper divisors (111646086349833).

230890619664567 is a wasteful number, since it uses less digits than its factorization.

230890619664567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336944 (or 336938 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 230890619664567 in words is "two hundred thirty trillion, eight hundred ninety billion, six hundred nineteen million, six hundred sixty-four thousand, five hundred sixty-seven".