98493480920016 has 1440 divisors, whose sum is σ = 376151984732160. Its totient is φ = 23773807411200.

The previous prime is 98493480920011. The next prime is 98493480920041. The reversal of 98493480920016 is 61002908439489.

98493480920016 is a `hidden beast` number, since 9 + 8 + 493 + 48 + 0 + 92 + 0 + 0 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98493480920011) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5820775236 + ... + 5820792156.

It is an arithmetic number, because the mean of its divisors is an integer number (261216656064).

Almost surely, 2^{98493480920016} 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 98493480920016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188075992366080).

98493480920016 is an abundant number, since it is smaller than the sum of its proper divisors (277658503812144).

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

98493480920016 is a wasteful number, since it uses less digits than its factorization.

98493480920016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17105 (or 17089 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 98493480920016 in words is "ninety-eight trillion, four hundred ninety-three billion, four hundred eighty million, nine hundred twenty thousand, sixteen".