98363776900 has 81 divisors (see below), whose sum is σ = 216731407599. Its totient is φ = 38749613760.

The previous prime is 98363776811. The next prime is 98363776921. The reversal of 98363776900 is 967736389.

The square root of 98363776900 is 313630.

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

It can be written as a sum of positive squares in 4 ways, for example, as 99082116 + 98264694784 = 9954^2 + 313472^2 .

It is a super-2 number, since 2×98363776900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 247767502 + ... + 247767898.

Almost surely, 2^98363776900 is an apocalyptic number.

98363776900 is the 313630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98363776900

98363776900 is an abundant number, since it is smaller than the sum of its proper divisors (118367630699).

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

98363776900 is an equidigital number, since it uses as much as digits as its factorization.

98363776900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 58.

The spelling of 98363776900 in words is "ninety-eight billion, three hundred sixty-three million, seven hundred seventy-six thousand, nine hundred".