47914547201568 has 144 divisors (see below), whose sum is σ = 137942916995520. Its totient is φ = 15774716708352.

The previous prime is 47914547201567. The next prime is 47914547201569. The reversal of 47914547201568 is 86510274541974.

It is a happy number.

47914547201568 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 4 + 5 + 47 + 20 + 1 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (47914547201567) and next prime (47914547201569).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (47914547201567) 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, 9111730 + ... + 13373582.

It is an arithmetic number, because the mean of its divisors is an integer number (957936923580).

Almost surely, 2^{47914547201568} is an apocalyptic number.

47914547201568 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 47914547201568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68971458497760).

47914547201568 is an abundant number, since it is smaller than the sum of its proper divisors (90028369793952).

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

47914547201568 is a wasteful number, since it uses less digits than its factorization.

47914547201568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262351 (or 4262340 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 47914547201568 in words is "forty-seven trillion, nine hundred fourteen billion, five hundred forty-seven million, two hundred one thousand, five hundred sixty-eight".