98670312000 has 1680 divisors, whose sum is σ = 426413596752. Its totient is φ = 22428057600.

The previous prime is 98670311981. The next prime is 98670312001. The reversal of 98670312000 is 21307689.

It can be written as a sum of positive squares in 24 ways, for example, as 98410199616 + 260112384 = 313704^2 + 16128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (98670312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1861703974 + ... + 1861704026.

Almost surely, 2^98670312000 is an apocalyptic number.

98670312000 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 98670312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213206798376).

98670312000 is an abundant number, since it is smaller than the sum of its proper divisors (327743284752).

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

98670312000 is a wasteful number, since it uses less digits than its factorization.

98670312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 98670312000 its reverse (21307689), we get a palindrome (98691619689).

The spelling of 98670312000 in words is "ninety-eight billion, six hundred seventy million, three hundred twelve thousand".