65284299248256 has 384 divisors, whose sum is σ = 206572766400000. Its totient is φ = 19625682585600.

The previous prime is 65284299248219. The next prime is 65284299248317.

65284299248256 is a `hidden beast` number, since 6 + 5 + 2 + 8 + 4 + 2 + 9 + 92 + 482 + 56 = 666.

65284299248256 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8298496035 + ... + 8298503901.

It is an arithmetic number, because the mean of its divisors is an integer number (537949912500).

Almost surely, 2^{65284299248256} is an apocalyptic number.

65284299248256 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 65284299248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103286383200000).

65284299248256 is an abundant number, since it is smaller than the sum of its proper divisors (141288467151744).

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

65284299248256 is a wasteful number, since it uses less digits than its factorization.

65284299248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13028 (or 13013 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 65284299248256 in words is "sixty-five trillion, two hundred eighty-four billion, two hundred ninety-nine million, two hundred forty-eight thousand, two hundred fifty-six".