230832687204864 has 480 divisors, whose sum is σ = 742719577279680. Its totient is φ = 68587491557376.

The previous prime is 230832687204857. The next prime is 230832687204869. The reversal of 230832687204864 is 468402786238032.

230832687204864 is a `hidden beast` number, since 2 + 3 + 0 + 83 + 2 + 6 + 8 + 72 + 0 + 486 + 4 = 666.

It is a super-2 number, since 2×230832687204864² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230832687204869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5874632002 + ... + 5874671294.

It is an arithmetic number, because the mean of its divisors is an integer number (1547332452666).

Almost surely, 2^{230832687204864} is an apocalyptic number.

230832687204864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230832687204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371359788639840).

230832687204864 is an abundant number, since it is smaller than the sum of its proper divisors (511886890074816).

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

230832687204864 is a wasteful number, since it uses less digits than its factorization.

230832687204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43300 (or 43281 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 230832687204864 in words is "two hundred thirty trillion, eight hundred thirty-two billion, six hundred eighty-seven million, two hundred four thousand, eight hundred sixty-four".