230153654024406 has 48 divisors (see below), whose sum is σ = 577118264486400. Its totient is φ = 64925804749104.

The previous prime is 230153654024389. The next prime is 230153654024423. The reversal of 230153654024406 is 604420456351032.

230153654024406 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 5 + 365 + 40 + 244 + 0 + 6 = 666.

230153654024406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230153654024389) and next prime (230153654024423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11560852716 + ... + 11560872623.

It is an arithmetic number, because the mean of its divisors is an integer number (12023297176800).

Almost surely, 2^{230153654024406} is an apocalyptic number.

230153654024406 is an abundant number, since it is smaller than the sum of its proper divisors (346964610461994).

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

230153654024406 is a wasteful number, since it uses less digits than its factorization.

230153654024406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23121725433 (or 23121725430 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 230153654024406 in words is "two hundred thirty trillion, one hundred fifty-three billion, six hundred fifty-four million, twenty-four thousand, four hundred six".