243876714985824 has 96 divisors (see below), whose sum is σ = 647898315321600. Its totient is φ = 80311701837312.

The previous prime is 243876714985693. The next prime is 243876714985837. The reversal of 243876714985824 is 428589417678342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×243876714985824² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 243876714985824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735734877 + ... + 736066275.

It is an arithmetic number, because the mean of its divisors is an integer number (6748940784600).

Almost surely, 2^{243876714985824} is an apocalyptic number.

243876714985824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243876714985824 is an abundant number, since it is smaller than the sum of its proper divisors (404021600335776).

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

243876714985824 is a wasteful number, since it uses less digits than its factorization.

243876714985824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423852 (or 423844 counting only the distinct ones).

The product of its digits is 5202247680, while the sum is 78.

The spelling of 243876714985824 in words is "two hundred forty-three trillion, eight hundred seventy-six billion, seven hundred fourteen million, nine hundred eighty-five thousand, eight hundred twenty-four".