147398806105681 has 75 divisors (see below), whose sum is σ = 169403997334701. Its totient is φ = 128251625323536.

The previous prime is 147398806105613. The next prime is 147398806105703. The reversal of 147398806105681 is 186501608893741.

The square root of 147398806105681 is 12140791.

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

It can be written as a sum of positive squares in 2 ways, for example, as 73082682443281 + 74316123662400 = 8548841^2 + 8620680^2 .

It is not a de Polignac number, because 147398806105681 - 2¹⁹ = 147398805581393 is a prime.

It is a super-2 number, since 2×147398806105681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147398806105781) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 740697518020 + ... + 740697518218.

Almost surely, 2^{147398806105681} is an apocalyptic number.

147398806105681 is the 12140791-st square number.

147398806105681 is the 6070396-th centered octagonal number.

It is an amenable number.

147398806105681 is a deficient number, since it is larger than the sum of its proper divisors (22005191229020).

147398806105681 is an frugal number, since it uses more digits than its factorization.

147398806105681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 67.

The spelling of 147398806105681 in words is "one hundred forty-seven trillion, three hundred ninety-eight billion, eight hundred six million, one hundred five thousand, six hundred eighty-one".