98493018624 has 960 divisors, whose sum is σ = 386933234688. Its totient is φ = 23290675200.

The previous prime is 98493018601. The next prime is 98493018629. The reversal of 98493018624 is 42681039489.

98493018624 is a `hidden beast` number, since 9 + 8 + 4 + 9 + 3 + 0 + 1 + 8 + 624 = 666.

It is a super-2 number, since 2×98493018624² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98493018629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 604251567 + ... + 604251729.

Almost surely, 2^98493018624 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 98493018624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193466617344).

98493018624 is an abundant number, since it is smaller than the sum of its proper divisors (288440216064).

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

98493018624 is a wasteful number, since it uses less digits than its factorization.

98493018624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 98493018624 in words is "ninety-eight billion, four hundred ninety-three million, eighteen thousand, six hundred twenty-four".