447336001012001 has 16 divisors (see below), whose sum is σ = 450654618882000. Its totient is φ = 444021709824000.

The previous prime is 447336001011953. The next prime is 447336001012039. The reversal of 447336001012001 is 100210100633744.

It can be written as a sum of positive squares in 8 ways, for example, as 236385213030976 + 210950787981025 = 15374824^2 + 14524145^2 .

It is a cyclic number.

It is not a de Polignac number, because 447336001012001 - 2⁶ = 447336001011937 is a prime.

It is a super-4 number, since 4×447336001012001⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (447336001012601) 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, 1239770945 + ... + 1240131713.

It is an arithmetic number, because the mean of its divisors is an integer number (28165913680125).

Almost surely, 2^{447336001012001} is an apocalyptic number.

It is an amenable number.

447336001012001 is a deficient number, since it is larger than the sum of its proper divisors (3318617869999).

447336001012001 is a wasteful number, since it uses less digits than its factorization.

447336001012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366740.

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 447336001012001 its reverse (100210100633744), we get a palindrome (547546101645745).

The spelling of 447336001012001 in words is "four hundred forty-seven trillion, three hundred thirty-six billion, one million, twelve thousand, one".