47705766406144 has 96 divisors (see below), whose sum is σ = 118925597044800. Its totient is φ = 18586662174720.

The previous prime is 47705766406139. The next prime is 47705766406187. The reversal of 47705766406144 is 44160466750774.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151100949 + ... + 151416340.

It is an arithmetic number, because the mean of its divisors is an integer number (1238808302550).

Almost surely, 2^{47705766406144} is an apocalyptic number.

47705766406144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

47705766406144 is an abundant number, since it is smaller than the sum of its proper divisors (71219830638656).

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

47705766406144 is a wasteful number, since it uses less digits than its factorization.

47705766406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302517329 (or 302517309 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 61.

The spelling of 47705766406144 in words is "forty-seven trillion, seven hundred five billion, seven hundred sixty-six million, four hundred six thousand, one hundred forty-four".