65654969396016 has 1280 divisors, whose sum is σ = 238396901621760. Its totient is φ = 15022485504000.

The previous prime is 65654969395943. The next prime is 65654969396017. The reversal of 65654969396016 is 61069396945656.

It is not an unprimeable number, because it can be changed into a prime (65654969396017) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44999978295 + ... + 44999979753.

It is an arithmetic number, because the mean of its divisors is an integer number (186247579392).

Almost surely, 2^{65654969396016} is an apocalyptic number.

65654969396016 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 65654969396016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119198450810880).

65654969396016 is an abundant number, since it is smaller than the sum of its proper divisors (172741932225744).

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

65654969396016 is a wasteful number, since it uses less digits than its factorization.

65654969396016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1700611200, while the sum is 75.

The spelling of 65654969396016 in words is "sixty-five trillion, six hundred fifty-four billion, nine hundred sixty-nine million, three hundred ninety-six thousand, sixteen".