98350486416000 has 7168 divisors, whose sum is σ = 483075081216000. Its totient is φ = 19752284160000.

The previous prime is 98350486415999. The next prime is 98350486416037. The reversal of 98350486416000 is 61468405389.

98350486416000 is a `hidden beast` number, since 98 + 3 + 504 + 8 + 6 + 41 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1612303055970 + ... + 1612303056030.

It is an arithmetic number, because the mean of its divisors is an integer number (67393287000).

Almost surely, 2^{98350486416000} is an apocalyptic number.

98350486416000 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 98350486416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241537540608000).

98350486416000 is an abundant number, since it is smaller than the sum of its proper divisors (384724594800000).

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

98350486416000 is an equidigital number, since it uses as much as digits as its factorization.

98350486416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 98350486416000 in words is "ninety-eight trillion, three hundred fifty billion, four hundred eighty-six million, four hundred sixteen thousand".