98486460334080 has 4320 divisors, whose sum is σ = 465931640966400. Its totient is φ = 19616338280448.

The previous prime is 98486460334027. The next prime is 98486460334109. The reversal of 98486460334080 is 8043306468489.

98486460334080 is a `hidden beast` number, since 9 + 8 + 486 + 4 + 6 + 0 + 33 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a junction number, because it is equal to n+sod(n) for n = 98486460333999 and 98486460334017.

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 287 ways as a sum of consecutive naturals, for example, 348008693619 + ... + 348008693901.

It is an arithmetic number, because the mean of its divisors is an integer number (107854546520).

Almost surely, 2^{98486460334080} is an apocalyptic number.

98486460334080 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 98486460334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232965820483200).

98486460334080 is an abundant number, since it is smaller than the sum of its proper divisors (367445180632320).

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

98486460334080 is a wasteful number, since it uses less digits than its factorization.

98486460334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 98486460334080 in words is "ninety-eight trillion, four hundred eighty-six billion, four hundred sixty million, three hundred thirty-four thousand, eighty".