4971264646201 has 16 divisors (see below), whose sum is σ = 5784224428800. Its totient is φ = 4184232886080.

The previous prime is 4971264646147. The next prime is 4971264646211. The reversal of 4971264646201 is 1026464621794.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4971264646201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4971264646211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9462346 + ... + 9973891.

It is an arithmetic number, because the mean of its divisors is an integer number (361514026800).

Almost surely, 2^{4971264646201} is an apocalyptic number.

It is an amenable number.

4971264646201 is a deficient number, since it is larger than the sum of its proper divisors (812959782599).

4971264646201 is a wasteful number, since it uses less digits than its factorization.

4971264646201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19436904.

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 4971264646201 in words is "four trillion, nine hundred seventy-one billion, two hundred sixty-four million, six hundred forty-six thousand, two hundred one".