65426656343004 has 288 divisors, whose sum is σ = 185823499680000. Its totient is φ = 19404202984320.

The previous prime is 65426656342981. The next prime is 65426656343023. The reversal of 65426656343004 is 40034365662456.

65426656343004 is a `hidden beast` number, since 6 + 5 + 42 + 6 + 6 + 563 + 4 + 30 + 0 + 4 = 666.

65426656343004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×65426656343004³ (a number of 42 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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425465122 + ... + 425618870.

It is an arithmetic number, because the mean of its divisors is an integer number (645220485000).

Almost surely, 2^{65426656343004} 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 65426656343004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92911749840000).

65426656343004 is an abundant number, since it is smaller than the sum of its proper divisors (120396843336996).

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

65426656343004 is a wasteful number, since it uses less digits than its factorization.

65426656343004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153982 (or 153955 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 65426656343004 in words is "sixty-five trillion, four hundred twenty-six billion, six hundred fifty-six million, three hundred forty-three thousand, four".