426854282458624 has 80 divisors (see below), whose sum is σ = 856598581190880. Its totient is φ = 212495684567040.

The previous prime is 426854282458613. The next prime is 426854282458651.

426854282458624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×426854282458624³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575005962 + ... + 575747830.

It is an arithmetic number, because the mean of its divisors is an integer number (10707482264886).

Almost surely, 2^{426854282458624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426854282458624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428299290595440).

426854282458624 is an abundant number, since it is smaller than the sum of its proper divisors (429744298732256).

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

426854282458624 is an equidigital number, since it uses as much as digits as its factorization.

426854282458624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746791 (or 746775 counting only the distinct ones).

The product of its digits is 1887436800, while the sum is 70.

The spelling of 426854282458624 in words is "four hundred twenty-six trillion, eight hundred fifty-four billion, two hundred eighty-two million, four hundred fifty-eight thousand, six hundred twenty-four".