248766828667842 has 64 divisors (see below), whose sum is σ = 528986150784000. Its totient is φ = 77768493761088.

The previous prime is 248766828667829. The next prime is 248766828667901.

248766828667842 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×248766828667842⁴ (a number of 59 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30516009 + ... + 37798947.

It is an arithmetic number, because the mean of its divisors is an integer number (8265408606000).

Almost surely, 2^{248766828667842} is an apocalyptic number.

248766828667842 is an abundant number, since it is smaller than the sum of its proper divisors (280219322116158).

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

248766828667842 is a wasteful number, since it uses less digits than its factorization.

248766828667842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285975.

The product of its digits is 33294385152, while the sum is 84.

The spelling of 248766828667842 in words is "two hundred forty-eight trillion, seven hundred sixty-six billion, eight hundred twenty-eight million, six hundred sixty-seven thousand, eight hundred forty-two".