47216621433345 has 192 divisors, whose sum is σ = 95634142986240. Its totient is φ = 19472392203264.

The previous prime is 47216621433323. The next prime is 47216621433347. The reversal of 47216621433345 is 54333412661274.

47216621433345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47216621433345 - 2⁹ = 47216621432833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47216621433347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150835851 + ... + 151148559.

It is an arithmetic number, because the mean of its divisors is an integer number (498094494720).

Almost surely, 2^{47216621433345} is an apocalyptic number.

It is an amenable number.

47216621433345 is an abundant number, since it is smaller than the sum of its proper divisors (48417521552895).

47216621433345 is a wasteful number, since it uses less digits than its factorization.

47216621433345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312944 (or 312931 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 51.

The spelling of 47216621433345 in words is "forty-seven trillion, two hundred sixteen billion, six hundred twenty-one million, four hundred thirty-three thousand, three hundred forty-five".