47909480897664 has 128 divisors (see below), whose sum is σ = 145221118348800. Its totient is φ = 15538209979392.

The previous prime is 47909480897657. The next prime is 47909480897669. The reversal of 47909480897664 is 46679808490974.

47909480897664 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 9 + 480 + 8 + 9 + 76 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×47909480897664³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (47909480897669) 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, 187205872 + ... + 187461615.

It is an arithmetic number, because the mean of its divisors is an integer number (1134539987100).

Almost surely, 2^{47909480897664} is an apocalyptic number.

It is an amenable number.

47909480897664 is an abundant number, since it is smaller than the sum of its proper divisors (97311637451136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47909480897664 is a wasteful number, since it uses less digits than its factorization.

47909480897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374667547 (or 374667529 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 47909480897664 in words is "forty-seven trillion, nine hundred nine billion, four hundred eighty million, eight hundred ninety-seven thousand, six hundred sixty-four".