98364452272128 has 864 divisors, whose sum is σ = 341913880788480. Its totient is φ = 27135698042880.

The previous prime is 98364452272123. The next prime is 98364452272187. The reversal of 98364452272128 is 82127225446389.

98364452272128 is a `hidden beast` number, since 9 + 8 + 3 + 64 + 4 + 522 + 7 + 21 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98364452272123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13075159375 + ... + 13075166897.

It is an arithmetic number, because the mean of its divisors is an integer number (395733658320).

Almost surely, 2^{98364452272128} is an apocalyptic number.

98364452272128 is a gapful number since it is divisible by the number (98) 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 98364452272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170956940394240).

98364452272128 is an abundant number, since it is smaller than the sum of its proper divisors (243549428516352).

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

98364452272128 is a wasteful number, since it uses less digits than its factorization.

98364452272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063 (or 8033 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 98364452272128 in words is "ninety-eight trillion, three hundred sixty-four billion, four hundred fifty-two million, two hundred seventy-two thousand, one hundred twenty-eight".