65950234914816 has 1248 divisors, whose sum is σ = 230812891545600. Its totient is φ = 17748954316800.

The previous prime is 65950234914793. The next prime is 65950234914833. The reversal of 65950234914816 is 61841943205956.

65950234914816 is a `hidden beast` number, since 6 + 5 + 9 + 502 + 3 + 49 + 1 + 4 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47140982085 + ... + 47140983483.

It is an arithmetic number, because the mean of its divisors is an integer number (184946227200).

Almost surely, 2^{65950234914816} 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 65950234914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115406445772800).

65950234914816 is an abundant number, since it is smaller than the sum of its proper divisors (164862656630784).

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

65950234914816 is a wasteful number, since it uses less digits than its factorization.

65950234914816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1596 counting only the distinct ones).

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

The spelling of 65950234914816 in words is "sixty-five trillion, nine hundred fifty billion, two hundred thirty-four million, nine hundred fourteen thousand, eight hundred sixteen".