243148877664 has 96 divisors (see below), whose sum is σ = 795759987456. Its totient is φ = 63155550720.

The previous prime is 243148877663. The next prime is 243148877677. The reversal of 243148877664 is 466778841342.

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

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 243148877598 and 243148877607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243148877663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16439367 + ... + 16454150.

It is an arithmetic number, because the mean of its divisors is an integer number (8289166536).

Almost surely, 2^243148877664 is an apocalyptic number.

243148877664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243148877664 is an abundant number, since it is smaller than the sum of its proper divisors (552611109792).

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

243148877664 is a wasteful number, since it uses less digits than its factorization.

243148877664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32893548 (or 32893540 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 60.

The spelling of 243148877664 in words is "two hundred forty-three billion, one hundred forty-eight million, eight hundred seventy-seven thousand, six hundred sixty-four".