98084297317632 has 576 divisors, whose sum is σ = 293994617333760. Its totient is φ = 28867149955072.

The previous prime is 98084297317541. The next prime is 98084297317637. The reversal of 98084297317632 is 23671379248089.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98084297317637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7848621208 + ... + 7848633704.

It is an arithmetic number, because the mean of its divisors is an integer number (510407321760).

Almost surely, 2^{98084297317632} is an apocalyptic number.

98084297317632 is a gapful number since it is divisible by the number (92) 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 98084297317632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146997308666880).

98084297317632 is an abundant number, since it is smaller than the sum of its proper divisors (195910320016128).

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

98084297317632 is a wasteful number, since it uses less digits than its factorization.

98084297317632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13058 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 98084297317632 in words is "ninety-eight trillion, eighty-four billion, two hundred ninety-seven million, three hundred seventeen thousand, six hundred thirty-two".