47018514252168 has 256 divisors, whose sum is σ = 134542161600000. Its totient is φ = 15203230101504.

The previous prime is 47018514252167. The next prime is 47018514252209. The reversal of 47018514252168 is 86125241581074.

47018514252168 is a `hidden beast` number, since 4 + 7 + 0 + 1 + 8 + 51 + 4 + 2 + 521 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47018514252167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5645153028 + ... + 5645161356.

It is an arithmetic number, because the mean of its divisors is an integer number (525555318750).

Almost surely, 2^{47018514252168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47018514252168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67271080800000).

47018514252168 is an abundant number, since it is smaller than the sum of its proper divisors (87523647347832).

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

47018514252168 is a wasteful number, since it uses less digits than its factorization.

47018514252168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10429 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 47018514252168 in words is "forty-seven trillion, eighteen billion, five hundred fourteen million, two hundred fifty-two thousand, one hundred sixty-eight".