98462905200 has 1440 divisors, whose sum is σ = 418373579520. Its totient is φ = 21167308800.

The previous prime is 98462905147. The next prime is 98462905213. The reversal of 98462905200 is 250926489.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1469595567 + ... + 1469595633.

It is an arithmetic number, because the mean of its divisors is an integer number (290537208).

Almost surely, 2^98462905200 is an apocalyptic number.

98462905200 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 98462905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209186789760).

98462905200 is an abundant number, since it is smaller than the sum of its proper divisors (319910674320).

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

98462905200 is a wasteful number, since it uses less digits than its factorization.

98462905200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 98462905200 in words is "ninety-eight billion, four hundred sixty-two million, nine hundred five thousand, two hundred".