426858412896 has 192 divisors, whose sum is σ = 1268913945600. Its totient is φ = 139571486208.

The previous prime is 426858412891. The next prime is 426858412949. The reversal of 426858412896 is 698214858624.

426858412896 is a `hidden beast` number, since 4 + 26 + 8 + 584 + 1 + 28 + 9 + 6 = 666.

It is a super-3 number, since 3×426858412896³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426858412891) 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, 13819806 + ... + 13850658.

It is an arithmetic number, because the mean of its divisors is an integer number (6608926800).

Almost surely, 2^426858412896 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 426858412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634456972800).

426858412896 is an abundant number, since it is smaller than the sum of its proper divisors (842055532704).

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

426858412896 is a wasteful number, since it uses less digits than its factorization.

426858412896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31178 (or 31164 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 426858412896 in words is "four hundred twenty-six billion, eight hundred fifty-eight million, four hundred twelve thousand, eight hundred ninety-six".