47646144001 has 16 divisors (see below), whose sum is σ = 51111270864. Its totient is φ = 44258412544.

The previous prime is 47646143939. The next prime is 47646144031. The reversal of 47646144001 is 10044164674.

It can be written as a sum of positive squares in 8 ways, for example, as 9932115600 + 37714028401 = 99660^2 + 194201^2 .

It is not a de Polignac number, because 47646144001 - 2¹¹ = 47646141953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47646144031) 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 15 ways as a sum of consecutive naturals, for example, 343791 + ... + 462043.

It is an arithmetic number, because the mean of its divisors is an integer number (3194454429).

Almost surely, 2^47646144001 is an apocalyptic number.

It is an amenable number.

47646144001 is a deficient number, since it is larger than the sum of its proper divisors (3465126863).

47646144001 is a wasteful number, since it uses less digits than its factorization.

47646144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118580.

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 47646144001 in words is "forty-seven billion, six hundred forty-six million, one hundred forty-four thousand, one".