98465013504 has 864 divisors, whose sum is σ = 351908121600. Its totient is φ = 26913669120.

The previous prime is 98465013499. The next prime is 98465013541. The reversal of 98465013504 is 40531056489.

98465013504 is a `hidden beast` number, since 9 + 84 + 6 + 50 + 13 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 98465013504.

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, 1015103184 + ... + 1015103280.

Almost surely, 2^98465013504 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 98465013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175954060800).

98465013504 is an abundant number, since it is smaller than the sum of its proper divisors (253443108096).

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

98465013504 is a wasteful number, since it uses less digits than its factorization.

98465013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 98465013504 in words is "ninety-eight billion, four hundred sixty-five million, thirteen thousand, five hundred four".