67128146281 has 9 divisors (see below), whose sum is σ = 78089953431. Its totient is φ = 57536856552.

The previous prime is 67128146249. The next prime is 67128146303. The reversal of 67128146281 is 18264182176.

The square root of 67128146281 is 259091.

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

67128146281 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., 34034715225 + 33093431056 = 184485^2 + 181916^2 .

It is not a de Polignac number, because 67128146281 - 2⁵ = 67128146249 is a prime.

It is a super-2 number, since 2×67128146281² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67128146581) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1795131 + ... + 1832143.

Almost surely, 2^67128146281 is an apocalyptic number.

67128146281 is the 259091-st square number.

67128146281 is the 129546-th centered octagonal number.

It is an amenable number.

67128146281 is a deficient number, since it is larger than the sum of its proper divisors (10961807150).

67128146281 is an frugal number, since it uses more digits than its factorization.

67128146281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74040 (or 37020 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The spelling of 67128146281 in words is "sixty-seven billion, one hundred twenty-eight million, one hundred forty-six thousand, two hundred eighty-one".