65945456250 has 192 divisors, whose sum is σ = 177986108160. Its totient is φ = 16237760000.

The previous prime is 65945456249. The next prime is 65945456263. The reversal of 65945456250 is 5265454956.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 65945456193 and 65945456202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12503614 + ... + 12508886.

It is an arithmetic number, because the mean of its divisors is an integer number (927010980).

Almost surely, 2^65945456250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65945456250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88993054080).

65945456250 is an abundant number, since it is smaller than the sum of its proper divisors (112040651910).

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

65945456250 is a wasteful number, since it uses less digits than its factorization.

65945456250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 51.

The spelling of 65945456250 in words is "sixty-five billion, nine hundred forty-five million, four hundred fifty-six thousand, two hundred fifty".