230382136408767 has 16 divisors (see below), whose sum is σ = 353294534940672. Its totient is φ = 130808419578720.

The previous prime is 230382136408763. The next prime is 230382136408769. The reversal of 230382136408767 is 767804631283032.

230382136408767 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230382136408767 - 2² = 230382136408763 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230382136408767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230382136408763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34938142959 + ... + 34938149552.

It is an arithmetic number, because the mean of its divisors is an integer number (22080908433792).

Almost surely, 2^{230382136408767} is an apocalyptic number.

230382136408767 is a deficient number, since it is larger than the sum of its proper divisors (122912398531905).

230382136408767 is a wasteful number, since it uses less digits than its factorization.

230382136408767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69876292678.

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 230382136408767 in words is "two hundred thirty trillion, three hundred eighty-two billion, one hundred thirty-six million, four hundred eight thousand, seven hundred sixty-seven".