99805446400 has 243 divisors, whose sum is σ = 272291788573. Its totient is φ = 36191795200.

The previous prime is 99805446329. The next prime is 99805446449. The reversal of 99805446400 is 464450899.

The square root of 99805446400 is 315920.

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

It can be written as a sum of positive squares in only one way, i.e., 35929960704 + 63875485696 = 189552^2 + 252736^2 .

It is a super-2 number, since 2×99805446400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 278009421 + ... + 278009779.

Almost surely, 2^99805446400 is an apocalyptic number.

99805446400 is the 315920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99805446400

99805446400 is an abundant number, since it is smaller than the sum of its proper divisors (172486342173).

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

99805446400 is an equidigital number, since it uses as much as digits as its factorization.

99805446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 99805446400 by its sum of digits (49), we get a square (4890466873600 = 2211440²).

The spelling of 99805446400 in words is "ninety-nine billion, eight hundred five million, four hundred forty-six thousand, four hundred".