47414285084160 has 240 divisors, whose sum is σ = 172851585294960. Its totient is φ = 11978345594880.

The previous prime is 47414285084119. The next prime is 47414285084167. The reversal of 47414285084160 is 6148058241474.

47414285084160 is a `hidden beast` number, since 4 + 7 + 4 + 1 + 428 + 50 + 8 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×47414285084160² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47414285084097 and 47414285084106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47414285084167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53717811 + ... + 54593330.

It is an arithmetic number, because the mean of its divisors is an integer number (720214938729).

Almost surely, 2^{47414285084160} is an apocalyptic number.

47414285084160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47414285084160 is an abundant number, since it is smaller than the sum of its proper divisors (125437300210800).

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

47414285084160 is a wasteful number, since it uses less digits than its factorization.

47414285084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108311189 (or 108311170 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 47414285084160 in words is "forty-seven trillion, four hundred fourteen billion, two hundred eighty-five million, eighty-four thousand, one hundred sixty".