98933657971600 has 135 divisors (see below), whose sum is σ = 238921302690291. Its totient is φ = 39369201043200.

The previous prime is 98933657971549. The next prime is 98933657971627. The reversal of 98933657971600 is 617975633989.

The square root of 98933657971600 is 9946540.

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 21650148432784 + 77283509538816 = 4652972^2 + 8791104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41974397622 + ... + 41974399978.

Almost surely, 2^{98933657971600} is an apocalyptic number.

98933657971600 is the 9946540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98933657971600

98933657971600 is an abundant number, since it is smaller than the sum of its proper divisors (139987644718691).

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

98933657971600 is an frugal number, since it uses more digits than its factorization.

98933657971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 73.

The spelling of 98933657971600 in words is "ninety-eight trillion, nine hundred thirty-three billion, six hundred fifty-seven million, nine hundred seventy-one thousand, six hundred".