47001879687168 has 1248 divisors, whose sum is σ = 170793688965120. Its totient is φ = 12717266042880.

The previous prime is 47001879687157. The next prime is 47001879687173. The reversal of 47001879687168 is 86178697810074.

47001879687168 is a `hidden beast` number, since 470 + 0 + 1 + 8 + 7 + 96 + 8 + 7 + 1 + 68 = 666.

47001879687168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 47001879687096 and 47001879687105.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7895491680 + ... + 7895497632.

It is an arithmetic number, because the mean of its divisors is an integer number (136853917440).

Almost surely, 2^{47001879687168} is an apocalyptic number.

47001879687168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47001879687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85396844482560).

47001879687168 is an abundant number, since it is smaller than the sum of its proper divisors (123791809277952).

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

47001879687168 is a wasteful number, since it uses less digits than its factorization.

47001879687168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 47001879687168 in words is "forty-seven trillion, one billion, eight hundred seventy-nine million, six hundred eighty-seven thousand, one hundred sixty-eight".