98169422400 has 567 divisors, whose sum is σ = 406974473451. Its totient is φ = 22378567680.

The previous prime is 98169422381. The next prime is 98169422441. The reversal of 98169422400 is 422496189.

The square root of 98169422400 is 313320.

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 945193536 + 97224228864 = 30744^2 + 311808^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 263188614 + ... + 263188986.

Almost surely, 2^98169422400 is an apocalyptic number.

98169422400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98169422400 is the 313320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98169422400

98169422400 is an abundant number, since it is smaller than the sum of its proper divisors (308805051051).

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

98169422400 is a wasteful number, since it uses less digits than its factorization.

98169422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 98169422400 in words is "ninety-eight billion, one hundred sixty-nine million, four hundred twenty-two thousand, four hundred".