10098361995264 has 351 divisors, whose sum is σ = 30339341978673. Its totient is φ = 3360629440512.

The previous prime is 10098361995247. The next prime is 10098361995289. The reversal of 10098361995264 is 46259916389001.

The square root of 10098361995264 is 3177792.

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

10098361995264 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 3 + 619 + 9 + 5 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32920473600 + 10065441521664 = 181440^2 + 3172608^2 .

It is an unprimeable number.

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, 16473673422 + ... + 16473674034.

Almost surely, 2^{10098361995264} is an apocalyptic number.

10098361995264 is the 3177792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10098361995264

10098361995264 is an abundant number, since it is smaller than the sum of its proper divisors (20240979983409).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10098361995264 is an frugal number, since it uses more digits than its factorization.

10098361995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 10098361995264 in words is "ten trillion, ninety-eight billion, three hundred sixty-one million, nine hundred ninety-five thousand, two hundred sixty-four".