98639964900 has 405 divisors, whose sum is σ = 337999895051. Its totient is φ = 24060274560.

The previous prime is 98639964887. The next prime is 98639964949. The reversal of 98639964900 is 946993689.

The square root of 98639964900 is 314070.

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 1355859684 + 97284105216 = 36822^2 + 311904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3401378086 + ... + 3401378114.

Almost surely, 2^98639964900 is an apocalyptic number.

98639964900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98639964900 is the 314070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98639964900

98639964900 is an abundant number, since it is smaller than the sum of its proper divisors (239359930151).

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

98639964900 is a wasteful number, since it uses less digits than its factorization.

98639964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 98639964900 in words is "ninety-eight billion, six hundred thirty-nine million, nine hundred sixty-four thousand, nine hundred".