98354378308032 has 672 divisors, whose sum is σ = 365418994636800. Its totient is φ = 25064551249920.

The previous prime is 98354378307751. The next prime is 98354378308051. The reversal of 98354378308032 is 23080387345389.

98354378308032 is a `hidden beast` number, since 9 + 8 + 3 + 543 + 7 + 8 + 3 + 0 + 80 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 114755193 + ... + 115609095.

Almost surely, 2^{98354378308032} 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 98354378308032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182709497318400).

98354378308032 is an abundant number, since it is smaller than the sum of its proper divisors (267064616328768).

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

98354378308032 is a wasteful number, since it uses less digits than its factorization.

98354378308032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854006 (or 853979 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 98354378308032 in words is "ninety-eight trillion, three hundred fifty-four billion, three hundred seventy-eight million, three hundred eight thousand, thirty-two".