426649337856 has 585 divisors, whose sum is σ = 1488872745759. Its totient is φ = 121899810816.

The previous prime is 426649337839. The next prime is 426649337869. The reversal of 426649337856 is 658733946624.

The square root of 426649337856 is 653184.

It is a perfect power (a square), and thus also a powerful number.

426649337856 is a `hidden beast` number, since 4 + 2 + 66 + 493 + 3 + 7 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (156764160) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 426649337793 and 426649337802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 60949905405 + ... + 60949905411.

Almost surely, 2^426649337856 is an apocalyptic number.

426649337856 is the 653184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426649337856

426649337856 is an abundant number, since it is smaller than the sum of its proper divisors (1062223407903).

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

426649337856 is an frugal number, since it uses more digits than its factorization.

426649337856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 12 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 426649337856 in words is "four hundred twenty-six billion, six hundred forty-nine million, three hundred thirty-seven thousand, eight hundred fifty-six".