98476114146624 has 224 divisors, whose sum is σ = 302431563060480. Its totient is φ = 31362530918400.

The previous prime is 98476114146617. The next prime is 98476114146653. The reversal of 98476114146624 is 42664141167489.

98476114146624 is a `hidden beast` number, since 9 + 8 + 4 + 7 + 6 + 1 + 141 + 466 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33608244 + ... + 36420684.

It is an arithmetic number, because the mean of its divisors is an integer number (1350140906520).

Almost surely, 2^{98476114146624} 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 98476114146624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151215781530240).

98476114146624 is an abundant number, since it is smaller than the sum of its proper divisors (203955448913856).

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

98476114146624 is a wasteful number, since it uses less digits than its factorization.

98476114146624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813366 (or 2813350 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 98476114146624 in words is "ninety-eight trillion, four hundred seventy-six billion, one hundred fourteen million, one hundred forty-six thousand, six hundred twenty-four".