98464780164096 has 528 divisors, whose sum is σ = 291463768627200. Its totient is φ = 32004631166976.

The previous prime is 98464780164083. The next prime is 98464780164161. The reversal of 98464780164096 is 69046108746489.

It is a happy number.

98464780164096 is a `hidden beast` number, since 9 + 8 + 4 + 6 + 478 + 0 + 1 + 64 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76985753985 + ... + 76985755263.

Almost surely, 2^{98464780164096} is an apocalyptic number.

98464780164096 is a gapful number since it is divisible by the number (96) 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 98464780164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145731884313600).

98464780164096 is an abundant number, since it is smaller than the sum of its proper divisors (192998988463104).

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

98464780164096 is a wasteful number, since it uses less digits than its factorization.

98464780164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 98464780164096 in words is "ninety-eight trillion, four hundred sixty-four billion, seven hundred eighty million, one hundred sixty-four thousand, ninety-six".