842454454248 has 512 divisors, whose sum is σ = 2673496627200. Its totient is φ = 243544320000.

The previous prime is 842454454189. The next prime is 842454454271.

842454454248 is a `hidden beast` number, since 8 + 4 + 2 + 4 + 54 + 4 + 542 + 48 = 666.

842454454248 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 842454454194 and 842454454203.

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 127 ways as a sum of consecutive naturals, for example, 1610811315 + ... + 1610811837.

It is an arithmetic number, because the mean of its divisors is an integer number (5221673100).

Almost surely, 2^842454454248 is an apocalyptic number.

842454454248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842454454248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336748313600).

842454454248 is an abundant number, since it is smaller than the sum of its proper divisors (1831042172952).

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

842454454248 is a wasteful number, since it uses less digits than its factorization.

842454454248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its digits is 26214400, while the sum is 54.

The spelling of 842454454248 in words is "eight hundred forty-two billion, four hundred fifty-four million, four hundred fifty-four thousand, two hundred forty-eight".