95794999650064 has 405 divisors, whose sum is σ = 224998732844991. Its totient is φ = 39463167744000.

The previous prime is 95794999650043. The next prime is 95794999650073. The reversal of 95794999650064 is 46005699949759.

It is a happy number.

The square root of 95794999650064 is 9787492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1522706640400 + 94272293009664 = 1233980^2 + 9709392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 95794999650064.

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 80 ways as a sum of consecutive naturals, for example, 397489624984 + ... + 397489625224.

Almost surely, 2^{95794999650064} is an apocalyptic number.

95794999650064 is the 9787492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95794999650064

95794999650064 is an abundant number, since it is smaller than the sum of its proper divisors (129203733194927).

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

95794999650064 is a wasteful number, since it uses less digits than its factorization.

95794999650064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5952139200, while the sum is 82.

The spelling of 95794999650064 in words is "ninety-five trillion, seven hundred ninety-four billion, nine hundred ninety-nine million, six hundred fifty thousand, sixty-four".