98616414400 has 672 divisors, whose sum is σ = 304780492800. Its totient is φ = 30656102400.

The previous prime is 98616414371. The next prime is 98616414427. The reversal of 98616414400 is 441461689.

It is a super-2 number, since 2×98616414400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 776507137 + ... + 776507263.

It is an arithmetic number, because the mean of its divisors is an integer number (453542400).

Almost surely, 2^98616414400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98616414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152390246400).

98616414400 is an abundant number, since it is smaller than the sum of its proper divisors (206164078400).

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

98616414400 is a wasteful number, since it uses less digits than its factorization.

98616414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 98616414400 in words is "ninety-eight billion, six hundred sixteen million, four hundred fourteen thousand, four hundred".