248850704664 has 48 divisors (see below), whose sum is σ = 673994383920. Its totient is φ = 82947314880.

The previous prime is 248850704657. The next prime is 248850704681. The reversal of 248850704664 is 466407058842.

It is a happy number.

248850704664 is a `hidden beast` number, since 2 + 488 + 50 + 70 + 46 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 248850704664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3215949 + ... + 3292419.

It is an arithmetic number, because the mean of its divisors is an integer number (14041549665).

Almost surely, 2^248850704664 is an apocalyptic number.

248850704664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248850704664 is an abundant number, since it is smaller than the sum of its proper divisors (425143679256).

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

248850704664 is a wasteful number, since it uses less digits than its factorization.

248850704664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121680 (or 121673 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 248850704664 in words is "two hundred forty-eight billion, eight hundred fifty million, seven hundred four thousand, six hundred sixty-four".