230640677622144 has 48 divisors (see below), whose sum is σ = 663692574931620. Its totient is φ = 76880225873664.

The previous prime is 230640677622133. The next prime is 230640677622197. The reversal of 230640677622144 is 441226776046032.

230640677622144 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 4 + 0 + 6 + 7 + 7 + 622 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100104459622 + ... + 100104461925.

Almost surely, 2^{230640677622144} is an apocalyptic number.

230640677622144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230640677622144 is an abundant number, since it is smaller than the sum of its proper divisors (433051897309476).

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

230640677622144 is a wasteful number, since it uses less digits than its factorization.

230640677622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200208921567 (or 200208921552 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 230640677622144 in words is "two hundred thirty trillion, six hundred forty billion, six hundred seventy-seven million, six hundred twenty-two thousand, one hundred forty-four".