9948401337601 has 4 divisors (see below), whose sum is σ = 9948439166400. Its totient is φ = 9948363508804.

The previous prime is 9948401337571. The next prime is 9948401337613. The reversal of 9948401337601 is 1067331048499.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 9948401337601 - 2¹³ = 9948401329409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9948401337671) 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 3 ways as a sum of consecutive naturals, for example, 18517141 + ... + 19046818.

It is an arithmetic number, because the mean of its divisors is an integer number (2487109791600).

Almost surely, 2^{9948401337601} is an apocalyptic number.

It is an amenable number.

9948401337601 is a deficient number, since it is larger than the sum of its proper divisors (37828799).

9948401337601 is a wasteful number, since it uses less digits than its factorization.

9948401337601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37828798.

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 9948401337601 in words is "nine trillion, nine hundred forty-eight billion, four hundred one million, three hundred thirty-seven thousand, six hundred one".