230670306938880 has 1664 divisors, whose sum is σ = 893974200975360. Its totient is φ = 56202111221760.

The previous prime is 230670306938839. The next prime is 230670306938933. The reversal of 230670306938880 is 88839603076032.

230670306938880 is a `hidden beast` number, since 2 + 30 + 67 + 0 + 30 + 69 + 388 + 80 = 666.

It is a super-2 number, since 2×230670306938880² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56110508025 + ... + 56110512135.

Almost surely, 2^{230670306938880} is an apocalyptic number.

230670306938880 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 230670306938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446987100487680).

230670306938880 is an abundant number, since it is smaller than the sum of its proper divisors (663303894036480).

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

230670306938880 is a wasteful number, since it uses less digits than its factorization.

230670306938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 230670306938880 in words is "two hundred thirty trillion, six hundred seventy billion, three hundred six million, nine hundred thirty-eight thousand, eight hundred eighty".