248133222331842 has 64 divisors (see below), whose sum is σ = 517812463954944. Its totient is φ = 79193860574400.

The previous prime is 248133222331783. The next prime is 248133222331853.

248133222331842 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×248133222331842² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248133222331791 and 248133222331800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6135717 + ... + 23106567.

It is an arithmetic number, because the mean of its divisors is an integer number (8090819749296).

Almost surely, 2^{248133222331842} is an apocalyptic number.

248133222331842 is an abundant number, since it is smaller than the sum of its proper divisors (269679241623102).

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

248133222331842 is a wasteful number, since it uses less digits than its factorization.

248133222331842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16971943.

The product of its digits is 2654208, while the sum is 48.

The spelling of 248133222331842 in words is "two hundred forty-eight trillion, one hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-one thousand, eight hundred forty-two".