108437712435649 has 9 divisors (see below), whose sum is σ = 108505389302947. Its totient is φ = 108370077772864.

The previous prime is 108437712435643. The next prime is 108437712435697. The reversal of 108437712435649 is 946534217734801.

It is a happy number.

The square root of 108437712435649 is 10413343.

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

It can be written as a sum of positive squares in only one way, i.e., 538968881025 + 107898743554624 = 734145^2 + 10387432^2 .

It is not a de Polignac number, because 108437712435649 - 2⁹ = 108437712435137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108437712435643) 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, 29980012689 + ... + 29980016305.

It is a 1-persistent number, because it is pandigital, but 2⋅108437712435649 = 216875424871298 is not.

Almost surely, 2^{108437712435649} is an apocalyptic number.

108437712435649 is the 10413343-rd square number.

108437712435649 is the 5206672-nd centered octagonal number.

It is an amenable number.

108437712435649 is a deficient number, since it is larger than the sum of its proper divisors (67676867298).

108437712435649 is an frugal number, since it uses more digits than its factorization.

108437712435649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12992 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 64.

The spelling of 108437712435649 in words is "one hundred eight trillion, four hundred thirty-seven billion, seven hundred twelve million, four hundred thirty-five thousand, six hundred forty-nine".