47523050408106 has 960 divisors, whose sum is σ = 150726790811520. Its totient is φ = 11021774561280.

The previous prime is 47523050408063. The next prime is 47523050408189. The reversal of 47523050408106 is 60180405032574.

47523050408106 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 30 + 504 + 0 + 8 + 106 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2433201561 + ... + 2433221091.

It is an arithmetic number, because the mean of its divisors is an integer number (157007073762).

Almost surely, 2^{47523050408106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47523050408106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75363395405760).

47523050408106 is an abundant number, since it is smaller than the sum of its proper divisors (103203740403414).

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

47523050408106 is a wasteful number, since it uses less digits than its factorization.

47523050408106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19681 (or 19665 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 47523050408106 in words is "forty-seven trillion, five hundred twenty-three billion, fifty million, four hundred eight thousand, one hundred six".