230658516000 has 1728 divisors, whose sum is σ = 1002765464064. Its totient is φ = 51508224000.

The previous prime is 230658515951. The next prime is 230658516019. The reversal of 230658516000 is 615856032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4907627977 + ... + 4907628023.

It is an arithmetic number, because the mean of its divisors is an integer number (580304088).

Almost surely, 2^230658516000 is an apocalyptic number.

230658516000 is a gapful number since it is divisible by the number (20) 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 230658516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501382732032).

230658516000 is an abundant number, since it is smaller than the sum of its proper divisors (772106948064).

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

230658516000 is an equidigital number, since it uses as much as digits as its factorization.

230658516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 230658516000 in words is "two hundred thirty billion, six hundred fifty-eight million, five hundred sixteen thousand".