230061362442912 has 1152 divisors, whose sum is σ = 915733451243520. Its totient is φ = 52851502080000.

The previous prime is 230061362442799. The next prime is 230061362442949. The reversal of 230061362442912 is 219244263160032.

230061362442912 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 6 + 1 + 3 + 624 + 4 + 2 + 9 + 12 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 902502289 + ... + 902757167.

It is an arithmetic number, because the mean of its divisors is an integer number (794907509760).

Almost surely, 2^{230061362442912} is an apocalyptic number.

230061362442912 is a gapful number since it is divisible by the number (22) 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 230061362442912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457866725621760).

230061362442912 is an abundant number, since it is smaller than the sum of its proper divisors (685672088800608).

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

230061362442912 is a wasteful number, since it uses less digits than its factorization.

230061362442912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255058 (or 255047 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 230061362442912 in words is "two hundred thirty trillion, sixty-one billion, three hundred sixty-two million, four hundred forty-two thousand, nine hundred twelve".