65496819456 has 576 divisors, whose sum is σ = 211921920000. Its totient is φ = 19887648768.

The previous prime is 65496819449. The next prime is 65496819463. The reversal of 65496819456 is 65491869456.

65496819456 is a `hidden beast` number, since 6 + 5 + 496 + 8 + 1 + 94 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (65496819449) and next prime (65496819463).

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 65496819393 and 65496819402.

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 63 ways as a sum of consecutive naturals, for example, 612119755 + ... + 612119861.

It is an arithmetic number, because the mean of its divisors is an integer number (367920000).

Almost surely, 2^65496819456 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 65496819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105960960000).

65496819456 is an abundant number, since it is smaller than the sum of its proper divisors (146425100544).

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

65496819456 is a wasteful number, since it uses less digits than its factorization.

65496819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 65496819456 in words is "sixty-five billion, four hundred ninety-six million, eight hundred nineteen thousand, four hundred fifty-six".