98134540416 has 640 divisors, whose sum is σ = 337392760320. Its totient is φ = 28035072000.

The previous prime is 98134540393. The next prime is 98134540433. The reversal of 98134540416 is 61404543189.

98134540416 is a `hidden beast` number, since 98 + 1 + 3 + 4 + 540 + 4 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144954670 + ... + 144955346.

It is an arithmetic number, because the mean of its divisors is an integer number (527176188).

Almost surely, 2^98134540416 is an apocalyptic number.

98134540416 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 98134540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168696380160).

98134540416 is an abundant number, since it is smaller than the sum of its proper divisors (239258219904).

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

98134540416 is a wasteful number, since it uses less digits than its factorization.

98134540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 98134540416 in words is "ninety-eight billion, one hundred thirty-four million, five hundred forty thousand, four hundred sixteen".