243867540528864 has 72 divisors (see below), whose sum is σ = 792569506725360. Its totient is φ = 69676440150528.

The previous prime is 243867540528823. The next prime is 243867540528883. The reversal of 243867540528864 is 468825045768342.

243867540528864 is a `hidden beast` number, since 2 + 4 + 3 + 86 + 7 + 5 + 405 + 2 + 88 + 64 = 666.

243867540528864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 243867540528792 and 243867540528801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60483018949 + ... + 60483022980.

It is an arithmetic number, because the mean of its divisors is an integer number (11007909815630).

Almost surely, 2^{243867540528864} is an apocalyptic number.

243867540528864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243867540528864 is an abundant number, since it is smaller than the sum of its proper divisors (548701966196496).

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

243867540528864 is a wasteful number, since it uses less digits than its factorization.

243867540528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120966041952 (or 120966041941 counting only the distinct ones).

The product of its (nonzero) digits is 2477260800, while the sum is 72.

The spelling of 243867540528864 in words is "two hundred forty-three trillion, eight hundred sixty-seven billion, five hundred forty million, five hundred twenty-eight thousand, eight hundred sixty-four".