65283638256 has 160 divisors (see below), whose sum is σ = 190932690240. Its totient is φ = 21353472000.

The previous prime is 65283638239. The next prime is 65283638261.

65283638256 is a `hidden beast` number, since 6 + 5 + 28 + 363 + 8 + 256 = 666.

65283638256 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4923796 + ... + 4937036.

It is an arithmetic number, because the mean of its divisors is an integer number (1193329314).

Almost surely, 2^65283638256 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 65283638256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95466345120).

65283638256 is an abundant number, since it is smaller than the sum of its proper divisors (125649051984).

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

65283638256 is a wasteful number, since it uses less digits than its factorization.

65283638256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472 (or 13460 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 65283638256 in words is "sixty-five billion, two hundred eighty-three million, six hundred thirty-eight thousand, two hundred fifty-six".