243264813120 has 336 divisors, whose sum is σ = 958515337728. Its totient is φ = 55472394240.

The previous prime is 243264813119. The next prime is 243264813131. The reversal of 243264813120 is 21318462342.

243264813120 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 648 + 1 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 8674962 + ... + 8702958.

Almost surely, 2^243264813120 is an apocalyptic number.

243264813120 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 243264813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479257668864).

243264813120 is an abundant number, since it is smaller than the sum of its proper divisors (715250524608).

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

243264813120 is a wasteful number, since it uses less digits than its factorization.

243264813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28458 (or 28445 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 243264813120 in words is "two hundred forty-three billion, two hundred sixty-four million, eight hundred thirteen thousand, one hundred twenty".