35648595948001 has 8 divisors (see below), whose sum is σ = 36020305279784. Its totient is φ = 35276972290560.

The previous prime is 35648595947843. The next prime is 35648595948023. The reversal of 35648595948001 is 10084959584653.

It can be written as a sum of positive squares in 4 ways, for example, as 160352193600 + 35488243754401 = 400440^2 + 5957201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 35648595948001 - 2¹⁷ = 35648595816929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35648595948061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20581890 + ... + 22246603.

It is an arithmetic number, because the mean of its divisors is an integer number (4502538159973).

Almost surely, 2^{35648595948001} is an apocalyptic number.

It is an amenable number.

35648595948001 is a deficient number, since it is larger than the sum of its proper divisors (371709331783).

35648595948001 is an equidigital number, since it uses as much as digits as its factorization.

35648595948001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42837171.

The product of its (nonzero) digits is 186624000, while the sum is 67.

The spelling of 35648595948001 in words is "thirty-five trillion, six hundred forty-eight billion, five hundred ninety-five million, nine hundred forty-eight thousand, one".