98229161709056 has 640 divisors, whose sum is σ = 250142469857280. Its totient is φ = 37622734848000.

The previous prime is 98229161709043. The next prime is 98229161709071. The reversal of 98229161709056 is 65090716192289.

It is a super-2 number, since 2×98229161709056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98229161708983 and 98229161709001.

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, 83174564786 + ... + 83174565966.

It is an arithmetic number, because the mean of its divisors is an integer number (390847609152).

Almost surely, 2^{98229161709056} 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 98229161709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125071234928640).

98229161709056 is an abundant number, since it is smaller than the sum of its proper divisors (151913308148224).

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

98229161709056 is an equidigital number, since it uses as much as digits as its factorization.

98229161709056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 65.

The spelling of 98229161709056 in words is "ninety-eight trillion, two hundred twenty-nine billion, one hundred sixty-one million, seven hundred nine thousand, fifty-six".