65838683856 has 160 divisors (see below), whose sum is σ = 198846701568. Its totient is φ = 18567774720.

The previous prime is 65838683851. The next prime is 65838683873.

65838683856 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65838683851) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 376065 + ... + 522591.

Almost surely, 2^65838683856 is an apocalyptic number.

65838683856 is a gapful number since it is divisible by the number (66) 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 65838683856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99423350784).

65838683856 is an abundant number, since it is smaller than the sum of its proper divisors (133008017712).

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

65838683856 is a wasteful number, since it uses less digits than its factorization.

65838683856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146609 (or 146603 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 66.

The spelling of 65838683856 in words is "sixty-five billion, eight hundred thirty-eight million, six hundred eighty-three thousand, eight hundred fifty-six".