230198756336640 has 4224 divisors, whose sum is σ = 1106952787722240. Its totient is φ = 44221228646400.

The previous prime is 230198756336617. The next prime is 230198756336669. The reversal of 230198756336640 is 46633657891032.

230198756336640 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 9 + 8 + 7 + 563 + 3 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 86184482505 + ... + 86184485175.

It is a 2-persistent number, because it is pandigital, and so is 2⋅230198756336640 = 460397512673280, but 3⋅230198756336640 = 690596269009920 is not.

Almost surely, 2^{230198756336640} is an apocalyptic number.

230198756336640 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 230198756336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553476393861120).

230198756336640 is an abundant number, since it is smaller than the sum of its proper divisors (876754031385600).

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

230198756336640 is a wasteful number, since it uses less digits than its factorization.

230198756336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 230198756336640 in words is "two hundred thirty trillion, one hundred ninety-eight billion, seven hundred fifty-six million, three hundred thirty-six thousand, six hundred forty".