98364979121024 has 512 divisors, whose sum is σ = 252052284211200. Its totient is φ = 37437632010240.

The previous prime is 98364979120957. The next prime is 98364979121053. The reversal of 98364979121024 is 42012197946389.

98364979121024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 36937655117 + ... + 36937657779.

It is an arithmetic number, because the mean of its divisors is an integer number (492289617600).

Almost surely, 2^{98364979121024} is an apocalyptic number.

98364979121024 is a gapful number since it is divisible by the number (94) 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 98364979121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126026142105600).

98364979121024 is an abundant number, since it is smaller than the sum of its proper divisors (153687305090176).

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

98364979121024 is a wasteful number, since it uses less digits than its factorization.

98364979121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 65.

The spelling of 98364979121024 in words is "ninety-eight trillion, three hundred sixty-four billion, nine hundred seventy-nine million, one hundred twenty-one thousand, twenty-four".