230185748325504 has 128 divisors (see below), whose sum is σ = 617660105892480. Its totient is φ = 75947309465600.

The previous prime is 230185748325493. The next prime is 230185748325509. The reversal of 230185748325504 is 405523847581032.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (230185748325509) 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, 135949792 + ... + 137632544.

It is an arithmetic number, because the mean of its divisors is an integer number (4825469577285).

Almost surely, 2^{230185748325504} is an apocalyptic number.

230185748325504 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 230185748325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308830052946240).

230185748325504 is an abundant number, since it is smaller than the sum of its proper divisors (387474357566976).

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

230185748325504 is a wasteful number, since it uses less digits than its factorization.

230185748325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686398 (or 1686386 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 57.

The spelling of 230185748325504 in words is "two hundred thirty trillion, one hundred eighty-five billion, seven hundred forty-eight million, three hundred twenty-five thousand, five hundred four".