65117244819456 has 768 divisors, whose sum is σ = 199237068576000. Its totient is φ = 21006180679680.

The previous prime is 65117244819439. The next prime is 65117244819547. The reversal of 65117244819456 is 65491844271156.

65117244819456 is a `hidden beast` number, since 6 + 5 + 1 + 17 + 2 + 4 + 481 + 94 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×65117244819456² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65117244819393 and 65117244819402.

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, 63777908226 + ... + 63777909246.

It is an arithmetic number, because the mean of its divisors is an integer number (259423266375).

Almost surely, 2^{65117244819456} 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 65117244819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99618534288000).

65117244819456 is an abundant number, since it is smaller than the sum of its proper divisors (134119823756544).

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

65117244819456 is a wasteful number, since it uses less digits than its factorization.

65117244819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1371 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

It can be divided in two parts, 6511724 and 4819456, that added together give a triangular number (11331180 = T₄₇₆₀).

The spelling of 65117244819456 in words is "sixty-five trillion, one hundred seventeen billion, two hundred forty-four million, eight hundred nineteen thousand, four hundred fifty-six".