98345587201 has 27 divisors (see below), whose sum is σ = 102967740603. Its totient is φ = 93929771520.

The previous prime is 98345587199. The next prime is 98345587211. The reversal of 98345587201 is 10278554389.

It is a happy number.

The square root of 98345587201 is 313601.

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

It can be written as a sum of positive squares in 13 ways, for example, as 86201547201 + 12144040000 = 293601^2 + 110200^2 .

It is not a de Polignac number, because 98345587201 - 2¹ = 98345587199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (98345587211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1013871985 + ... + 1013872081.

Almost surely, 2^98345587201 is an apocalyptic number.

98345587201 is the 313601-st square number.

98345587201 is the 156801-st centered octagonal number.

It is an amenable number.

98345587201 is a deficient number, since it is larger than the sum of its proper divisors (4622153402).

98345587201 is an frugal number, since it uses more digits than its factorization.

98345587201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 98345587201 in words is "ninety-eight billion, three hundred forty-five million, five hundred eighty-seven thousand, two hundred one".