248640295659968 has 28 divisors (see below), whose sum is σ = 522418856508432. Its totient is φ = 117007197957120.

The previous prime is 248640295659949. The next prime is 248640295659983. The reversal of 248640295659968 is 869956592046842.

It is a super-2 number, since 2×248640295659968² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114264840668 + ... + 114264842843.

Almost surely, 2^{248640295659968} is an apocalyptic number.

It is an amenable number.

248640295659968 is an abundant number, since it is smaller than the sum of its proper divisors (273778560848464).

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

248640295659968 is a wasteful number, since it uses less digits than its factorization.

248640295659968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228529683540 (or 228529683530 counting only the distinct ones).

The product of its (nonzero) digits is 16124313600, while the sum is 83.

The spelling of 248640295659968 in words is "two hundred forty-eight trillion, six hundred forty billion, two hundred ninety-five million, six hundred fifty-nine thousand, nine hundred sixty-eight".