98464435200 has 792 divisors, whose sum is σ = 389873716128. Its totient is φ = 23616552960.

The previous prime is 98464435133. The next prime is 98464435207. The reversal of 98464435200 is 253446489.

98464435200 is a `hidden beast` number, since 9 + 8 + 4 + 6 + 4 + 435 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (98464435207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90085854 + ... + 90086946.

Almost surely, 2^98464435200 is an apocalyptic number.

98464435200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98464435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194936858064).

98464435200 is an abundant number, since it is smaller than the sum of its proper divisors (291409280928).

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

98464435200 is a wasteful number, since it uses less digits than its factorization.

98464435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 98464435200 in words is "ninety-eight billion, four hundred sixty-four million, four hundred thirty-five thousand, two hundred".