248226622842 has 64 divisors (see below), whose sum is σ = 548896176000. Its totient is φ = 74208583680.

The previous prime is 248226622841. The next prime is 248226622873.

248226622842 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 248226622791 and 248226622800.

It is not an unprimeable number, because it can be changed into a prime (248226622841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2590368 + ... + 2684484.

It is an arithmetic number, because the mean of its divisors is an integer number (8576502750).

Almost surely, 2^248226622842 is an apocalyptic number.

248226622842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 248226622842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274448088000).

248226622842 is an abundant number, since it is smaller than the sum of its proper divisors (300669553158).

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

248226622842 is a wasteful number, since it uses less digits than its factorization.

248226622842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94671.

The product of its digits is 2359296, while the sum is 48.

The spelling of 248226622842 in words is "two hundred forty-eight billion, two hundred twenty-six million, six hundred twenty-two thousand, eight hundred forty-two".