230140823313408 has 1408 divisors, whose sum is σ = 806994607104000. Its totient is φ = 57915929788416.

The previous prime is 230140823313403. The next prime is 230140823313421. The reversal of 230140823313408 is 804313328041032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 230140823313408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230140823313403) 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, 28248531991 + ... + 28248540137.

Almost surely, 2^{230140823313408} is an apocalyptic number.

230140823313408 is a gapful number since it is divisible by the number (28) 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 230140823313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403497303552000).

230140823313408 is an abundant number, since it is smaller than the sum of its proper divisors (576853783790592).

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

230140823313408 is a wasteful number, since it uses less digits than its factorization.

230140823313408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 230140823313408 in words is "two hundred thirty trillion, one hundred forty billion, eight hundred twenty-three million, three hundred thirteen thousand, four hundred eight".