98922281828832 has 576 divisors, whose sum is σ = 372450926615040. Its totient is φ = 24126352588800.

The previous prime is 98922281828779. The next prime is 98922281828833. The reversal of 98922281828832 is 23882818222989.

98922281828832 is a `hidden beast` number, since 9 + 8 + 92 + 228 + 1 + 8 + 288 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98922281828833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46573032 + ... + 48650712.

It is an arithmetic number, because the mean of its divisors is an integer number (646616192040).

Almost surely, 2^{98922281828832} 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 98922281828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186225463307520).

98922281828832 is an abundant number, since it is smaller than the sum of its proper divisors (273528644786208).

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

98922281828832 is a wasteful number, since it uses less digits than its factorization.

98922281828832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077847 (or 2077836 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 72.

The spelling of 98922281828832 in words is "ninety-eight trillion, nine hundred twenty-two billion, two hundred eighty-one million, eight hundred twenty-eight thousand, eight hundred thirty-two".