98081312767201 has 27 divisors (see below), whose sum is σ = 102011116931283. Its totient is φ = 94299711857760.

The previous prime is 98081312767189. The next prime is 98081312767267. The reversal of 98081312767201 is 10276721318089.

The square root of 98081312767201 is 9903601.

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., 85395064493025 + 12686248274176 = 9240945^2 + 3561776^2 .

It is not a de Polignac number, because 98081312767201 - 2¹⁹ = 98081312242913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98081312767301) 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, 51270941421 + ... + 51270943333.

Almost surely, 2^{98081312767201} is an apocalyptic number.

98081312767201 is the 9903601-st square number.

98081312767201 is the 4951801-st centered octagonal number.

It is an amenable number.

98081312767201 is a deficient number, since it is larger than the sum of its proper divisors (3929804164082).

98081312767201 is an frugal number, since it uses more digits than its factorization.

98081312767201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 55.

The spelling of 98081312767201 in words is "ninety-eight trillion, eighty-one billion, three hundred twelve million, seven hundred sixty-seven thousand, two hundred one".