243921133886976 has 3840 divisors, whose sum is σ = 981417685248000. Its totient is φ = 59920529227776.

The previous prime is 243921133886953. The next prime is 243921133886987. The reversal of 243921133886976 is 679688331129342.

It is a happy number.

243921133886976 is a `hidden beast` number, since 2 + 4 + 3 + 9 + 2 + 113 + 388 + 69 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 769467299170 + ... + 769467299486.

It is an arithmetic number, because the mean of its divisors is an integer number (255577522200).

Almost surely, 2^{243921133886976} is an apocalyptic number.

243921133886976 is a gapful number since it is divisible by the number (26) 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 243921133886976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490708842624000).

243921133886976 is an abundant number, since it is smaller than the sum of its proper divisors (737496551361024).

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

243921133886976 is an equidigital number, since it uses as much as digits as its factorization.

243921133886976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 434 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 243921133886976 in words is "two hundred forty-three trillion, nine hundred twenty-one billion, one hundred thirty-three million, eight hundred eighty-six thousand, nine hundred seventy-six".