842412214248 has 64 divisors (see below), whose sum is σ = 2299285094400. Its totient is φ = 255076735680.

The previous prime is 842412214229. The next prime is 842412214283.

842412214248 is nontrivially palindromic in base 10.

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

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 15 ways as a sum of consecutive naturals, for example, 909786 + ... + 1585097.

It is an arithmetic number, because the mean of its divisors is an integer number (35926329600).

Almost surely, 2^842412214248 is an apocalyptic number.

842412214248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

842412214248 is an abundant number, since it is smaller than the sum of its proper divisors (1456872880152).

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

842412214248 is a wasteful number, since it uses less digits than its factorization.

842412214248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496182 (or 2496178 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The spelling of 842412214248 in words is "eight hundred forty-two billion, four hundred twelve million, two hundred fourteen thousand, two hundred forty-eight".