98436380523121 has 9 divisors (see below), whose sum is σ = 98940558561931. Its totient is φ = 97934758848472.

The previous prime is 98436380523101. The next prime is 98436380523161. The reversal of 98436380523121 is 12132508363489.

The square root of 98436380523121 is 9921511.

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., 96447818016225 + 1988562506896 = 9820785^2 + 1410164^2 .

It is not a de Polignac number, because 98436380523121 - 2⁷ = 98436380522993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98436380523101) 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, 1954512486 + ... + 1954562848.

Almost surely, 2^{98436380523121} is an apocalyptic number.

98436380523121 is the 9921511-st square number.

98436380523121 is the 4960756-th centered octagonal number.

It is an amenable number.

98436380523121 is a deficient number, since it is larger than the sum of its proper divisors (504178038810).

98436380523121 is an frugal number, since it uses more digits than its factorization.

98436380523121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101120 (or 50560 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 98436380523121 in words is "ninety-eight trillion, four hundred thirty-six billion, three hundred eighty million, five hundred twenty-three thousand, one hundred twenty-one".