468215309382327 has 128 divisors (see below), whose sum is σ = 780453940654080. Its totient is φ = 275263935344640.

The previous prime is 468215309382307. The next prime is 468215309382341. The reversal of 468215309382327 is 723283903512864.

468215309382327 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 1 + 530 + 93 + 8 + 2 + 3 + 2 + 7 = 666.

It is not a de Polignac number, because 468215309382327 - 2⁶ = 468215309382263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468215309382307) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54047705398 + ... + 54047714060.

It is an arithmetic number, because the mean of its divisors is an integer number (6097296411360).

It is a 1-persistent number, because it is pandigital, but 2⋅468215309382327 = 936430618764654 is not.

Almost surely, 2^{468215309382327} is an apocalyptic number.

468215309382327 is a deficient number, since it is larger than the sum of its proper divisors (312238631271753).

468215309382327 is a wasteful number, since it uses less digits than its factorization.

468215309382327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16222 (or 16216 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 468215309382327 in words is "four hundred sixty-eight trillion, two hundred fifteen billion, three hundred nine million, three hundred eighty-two thousand, three hundred twenty-seven".