98618620320 has 648 divisors, whose sum is σ = 383676186348. Its totient is φ = 23048847360.

The previous prime is 98618620307. The next prime is 98618620333. The reversal of 98618620320 is 2302681689.

98618620320 is a `hidden beast` number, since 9 + 8 + 6 + 18 + 620 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98618620307) and next prime (98618620333).

It can be written as a sum of positive squares in 6 ways, for example, as 36180604944 + 62438015376 = 190212^2 + 249876^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146535504 + ... + 146536176.

Almost surely, 2^98618620320 is an apocalyptic number.

98618620320 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 98618620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191838093174).

98618620320 is an abundant number, since it is smaller than the sum of its proper divisors (285057566028).

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

98618620320 is a wasteful number, since it uses less digits than its factorization.

98618620320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 723 counting only the distinct ones).

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

The spelling of 98618620320 in words is "ninety-eight billion, six hundred eighteen million, six hundred twenty thousand, three hundred twenty".