948041681601 has 32 divisors (see below), whose sum is σ = 1495374566400. Its totient is φ = 522733861440.

The previous prime is 948041681593. The next prime is 948041681617. The reversal of 948041681601 is 106186140849.

It is not a de Polignac number, because 948041681601 - 2³ = 948041681593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (948041681621) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 505206 + ... + 1466736.

It is an arithmetic number, because the mean of its divisors is an integer number (46730455200).

Almost surely, 2^948041681601 is an apocalyptic number.

It is an amenable number.

948041681601 is a deficient number, since it is larger than the sum of its proper divisors (547332884799).

948041681601 is a wasteful number, since it uses less digits than its factorization.

948041681601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963189.

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 948041681601 in words is "nine hundred forty-eight billion, forty-one million, six hundred eighty-one thousand, six hundred one".