243904639104 has 960 divisors, whose sum is σ = 923884600320. Its totient is φ = 63402393600.

The previous prime is 243904639093. The next prime is 243904639109. The reversal of 243904639104 is 401936409342.

243904639104 is a `hidden beast` number, since 2 + 4 + 3 + 9 + 0 + 4 + 639 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 243904639104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243904639109) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 267732409 + ... + 267733319.

It is an arithmetic number, because the mean of its divisors is an integer number (962379792).

Almost surely, 2^243904639104 is an apocalyptic number.

243904639104 is a gapful number since it is divisible by the number (24) 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 243904639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461942300160).

243904639104 is an abundant number, since it is smaller than the sum of its proper divisors (679979961216).

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

243904639104 is a wasteful number, since it uses less digits than its factorization.

243904639104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 243904639104 in words is "two hundred forty-three billion, nine hundred four million, six hundred thirty-nine thousand, one hundred four".