98259237216 has 384 divisors, whose sum is σ = 335109519360. Its totient is φ = 27429083136.

The previous prime is 98259237127. The next prime is 98259237233. The reversal of 98259237216 is 61273295289.

98259237216 is a `hidden beast` number, since 9 + 8 + 2 + 592 + 37 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101611965 + ... + 101612931.

It is an arithmetic number, because the mean of its divisors is an integer number (872681040).

Almost surely, 2^98259237216 is an apocalyptic number.

98259237216 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 98259237216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167554759680).

98259237216 is an abundant number, since it is smaller than the sum of its proper divisors (236850282144).

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

98259237216 is a wasteful number, since it uses less digits than its factorization.

98259237216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1349 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 98259237216 in words is "ninety-eight billion, two hundred fifty-nine million, two hundred thirty-seven thousand, two hundred sixteen".