426865153968 has 120 divisors (see below), whose sum is σ = 1304330423760. Its totient is φ = 129244078080.

The previous prime is 426865153907. The next prime is 426865154003. The reversal of 426865153968 is 869351568624.

It is a happy number.

426865153968 is a `hidden beast` number, since 4 + 2 + 6 + 86 + 515 + 39 + 6 + 8 = 666.

It is a super-3 number, since 3×426865153968³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 1776768 + ... + 2002656.

It is an arithmetic number, because the mean of its divisors is an integer number (10869420198).

Almost surely, 2^426865153968 is an apocalyptic number.

426865153968 is a gapful number since it is divisible by the number (48) 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 426865153968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652165211880).

426865153968 is an abundant number, since it is smaller than the sum of its proper divisors (877465269792).

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

426865153968 is a wasteful number, since it uses less digits than its factorization.

426865153968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227107 (or 227098 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 426865153968 in words is "four hundred twenty-six billion, eight hundred sixty-five million, one hundred fifty-three thousand, nine hundred sixty-eight".