243193466880 has 1456 divisors, whose sum is σ = 1082926212480. Its totient is φ = 51024494592.

The previous prime is 243193466863. The next prime is 243193466891. The reversal of 243193466880 is 88664391342.

243193466880 is a `hidden beast` number, since 2 + 431 + 93 + 46 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1456).

It is a super-2 number, since 2×243193466880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1358622631 + ... + 1358622809.

Almost surely, 2^243193466880 is an apocalyptic number.

243193466880 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 243193466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541463106240).

243193466880 is an abundant number, since it is smaller than the sum of its proper divisors (839732745600).

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

243193466880 is an equidigital number, since it uses as much as digits as its factorization.

243193466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 243193466880 in words is "two hundred forty-three billion, one hundred ninety-three million, four hundred sixty-six thousand, eight hundred eighty".