67147838641 has 27 divisors (see below), whose sum is σ = 75248565867. Its totient is φ = 59889894480.

The previous prime is 67147838609. The next prime is 67147838657. The reversal of 67147838641 is 14683874176.

The square root of 67147838641 is 259129.

It is a perfect power (a square), and thus also a powerful number.

67147838641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9933112225 + 57214726416 = 99665^2 + 239196^2 .

It is not a de Polignac number, because 67147838641 - 2⁵ = 67147838609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67147835641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104428666 + ... + 104429308.

It is an arithmetic number, because the mean of its divisors is an integer number (2786983921).

Almost surely, 2^67147838641 is an apocalyptic number.

67147838641 is the 259129-th square number.

67147838641 is the 129565-th centered octagonal number.

It is an amenable number.

67147838641 is a deficient number, since it is larger than the sum of its proper divisors (8100727226).

67147838641 is an frugal number, since it uses more digits than its factorization.

67147838641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 55.

The spelling of 67147838641 in words is "sixty-seven billion, one hundred forty-seven million, eight hundred thirty-eight thousand, six hundred forty-one".