98445337600 has 297 divisors, whose sum is σ = 255620089137. Its totient is φ = 37590958080.

The previous prime is 98445337561. The next prime is 98445337603. The reversal of 98445337600 is 673354489.

The square root of 98445337600 is 313760.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5717779456 + 92727558144 = 75616^2 + 304512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98445337603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1857459174 + ... + 1857459226.

Almost surely, 2^98445337600 is an apocalyptic number.

98445337600 is the 313760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98445337600

98445337600 is an abundant number, since it is smaller than the sum of its proper divisors (157174751537).

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

98445337600 is an equidigital number, since it uses as much as digits as its factorization.

98445337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 98445337600 by its sum of digits (49), we get a square (4823821542400 = 2196320²).

The spelling of 98445337600 in words is "ninety-eight billion, four hundred forty-five million, three hundred thirty-seven thousand, six hundred".