95485944064 has 243 divisors, whose sum is σ = 231703042221. Its totient is φ = 39157493760.

The previous prime is 95485944061. The next prime is 95485944083. The reversal of 95485944064 is 46044958459.

It is a happy number.

The square root of 95485944064 is 309008.

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

It can be written as a sum of positive squares in only one way, i.e., 18335326464 + 77150617600 = 135408^2 + 277760^2 .

It is not an unprimeable number, because it can be changed into a prime (95485944061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1072875732 + ... + 1072875820.

Almost surely, 2^95485944064 is an apocalyptic number.

95485944064 is the 309008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95485944064

95485944064 is an abundant number, since it is smaller than the sum of its proper divisors (136217098157).

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

95485944064 is an frugal number, since it uses more digits than its factorization.

95485944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 58.

The spelling of 95485944064 in words is "ninety-five billion, four hundred eighty-five million, nine hundred forty-four thousand, sixty-four".