230123387407104 has 432 divisors, whose sum is σ = 675353952000000. Its totient is φ = 75348249919488.

The previous prime is 230123387407049. The next prime is 230123387407163. The reversal of 230123387407104 is 401704783321032.

230123387407104 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 233 + 8 + 7 + 407 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230123387407104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65209232412 + ... + 65209235940.

Almost surely, 2^{230123387407104} is an apocalyptic number.

230123387407104 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 230123387407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337676976000000).

230123387407104 is an abundant number, since it is smaller than the sum of its proper divisors (445230564592896).

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

230123387407104 is a wasteful number, since it uses less digits than its factorization.

230123387407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 230123387407104 in words is "two hundred thirty trillion, one hundred twenty-three billion, three hundred eighty-seven million, four hundred seven thousand, one hundred four".